36 = 2 x 2 x 3 x 3 Hence, after factoring the numbers 24 and 36, we can see, the factors 2x2x3 are common. Therefore, the HCF (24, 36) = 2x2x3 = 12 Question 2: What is the HCF of 35 and 55? Solution: By prime factorisaton we can write the two numbers as: ...
For better understanding, let's solve some examples of HCF of two numbers by prime factorization. We will find the HCF of 56 and 84. Let's represent the numbers using the prime factorization. So, we have, 56 = 2 × 2 × 2 × 7 and 84 = 2 × 2 × 3 × 7 . Now, HCF of 5...
To determine whether the statement "HCF of two numbers is always a factor of their LCM" is true or false, we can analyze the relationship between HCF (Highest Common Factor) and LCM (Lowest Common Multiple) using mathematical definitions and examples.
Step 1: Find the common prime factors of the given numbers. Step 2: Then, multiply the common prime factors that have the least or smallest power to obtain the HCF of those numbers.Example: Find the HCF of 60 and 90.Solution:The prime factors of 60 = 2 × 2 × 3 × 5 or 22×...
Given two numbers, we have to find GCD/HCF. Example: Input: first = 50 second = 78 Output: HCF/GCD = 2 Program to find GCD/HCF of two numbers in Kotlin packagecom.includehelp.basicimport java.util.*//Main Function entry Point of Programfunmain(args: Array<String>) {//Input Stream...
LCM or Least common multiple of two numbers is the smallest number that can be evenly divisible by both of those numbers: For example: LCM of 4, 10 is 20, LCM of 4, 3 is 12. HCF or Highest common factor, also known as GCD (Greatest common divisor) of two numbers is the highest ...
解析 (1) Solutions: The HCF of two consecutive numbers is 1 Example: The HCF of 2 and 3 is 1 (2) The HCF of two consecutive even numbers i s 2 Example: The HCF of 2 and 4 is 2 (3) The HCF of two consecutive odd numbers is 1 Example: The HCF of 3 and 5 is 1 ...
解析 (1) Solutions: The HCF of two consecutive numbers is 1 Example: The HCF of 2 and 3 is 1 (2) The HCF of two consecutive even numbers i s2 Example: The HCF of 2 and 4 is 2 (3) The HCF of two consecutive odd numbers is 1 Example: The HCF of 3 and 5 is 1 ...
HCF×LCM=Product of the two numbers 1. Identify the given values: - HCF = 16 - Product of the two numbers = 3072 2. Use the formula: - According to the formula: HCF×LCM=Product We can substitute the known values into the formula: 16×LCM=3072 3. Rearrange the formula to solve ...
HCF×LCM=Product of the two numbers 1. Identify the Given Values: - HCF = 16 - Product of the two numbers = 3072 2. Use the Relationship: HCF×LCM=Product of the two numbers Substituting the known values: 16×LCM=3072 3. Solve for LCM: To find the LCM, we need to isolate it on...