Let us understand the meaning of odd numbers with the help of an example. If we observe numbers like, 1, 3, 5, 7, and so on, we see that these numbers cannot be paired. Let us visualize it using an example of shoes and cherries. Observe the figure given below in order to understa...
So, we have, 56 = 2 × 2 × 2 × 7 and 84 = 2 × 2 × 3 × 7 . Now, HCF of 56 and 84 will the product of common prime factors with the lowest exponential power, that is, 7 and 2². So, HCF of 56 and 84 = 7 × 2 × 2 = 28. HCF of Two Numbers by Division ...
and so arrived negative numbers, which together with natural numbers and zero formed the set ofintegers. But integers are not closed under the division, the quotient of two non-zero integers could be afraction. By adding fractional
The maximum value of p will be 6. 0<q<6⇒ The maximum value of p will be 5. Therefore, the maximum value of p + q will be 11. If HCF (1008, 20) = HCF (20, a) = HCF (a, b) where 1008 = 20×q+a; 20 = a×m+b, where (q, a) and (m, b) are positive intege...
Step 1: Select first 2 or 3 terms to crack the rule of the sequence. This will help in finding the missing number. For instance: if a sequence has 5 terms, we can start with the first three terms and check the rule applied.
Whole Numbers All counting numbers along with zero form a set of whole numbers 0, 1, 2, 3, 4 --- whole numbers Any natural number is a whole number0 is a whole no. which is not a natural no. Integers Counting numbers + negative counting numbers + zero, all are integers -2, -1...
Co-prime numbers are those with only one common element. A set of co-prime numbers should consist of at least two numbers. The highest common factor in such numbers is only one. The greatest number among all the common factors of two or more numbers is called the HCF (Highest Common Fac...
a group of three digits starting from the rightmost digit. 2. the first group will give us the unit’s digit of the required cube root. the number 791 ends in 1, therefore, the last digit will be 1 because unit’s digit is 1 only when the cube root also ends with 1. 3. now ...
Therefore, the HCF of $867$ and $255$ is $51$. 2. Show that any positive odd integer is of the form, $6q+1$ or $6q+3$, or $6q+5$, where $q$ is some integer. Ans: Let $a$ be any positive integer and $b=6$. Then, by Euclid’s division algorithm we get $a=bq+r$,...
A Trickier Example: HCF and LCM of 120 and 252 Let's look at an example with even larger numbers now. If we wanted to find the lowest common multiple and highest common factor of 120 and 252, we would be here a long time if we tried to do it by writing out all of the facto...