Therefore, the HCF of 90 and 105 is 15. Example 2: For two numbers, HCF = 15 and LCM = 630. If one number is 105, find the other number. Solution: Given: HCF (z, 105) = 15 and LCM (z, 105) = 630 ∵ HCF × LCM = 105 × (z) ...
⇒ Since 2, 2, 3 are common terms in the prime factorization of 84 and 144. Hence, HCF(84, 144) = 2 × 2 × 3 = 12 ☛Prime Numbers Download FREE Study Materials HCF and LCM HCF and LCM Worksheet HCF and LCM Worksheet
Therefore, the highest common factor of 504 and 980 is 28. Example 3: For two numbers, HCF = 28 and LCM = 17640. If one number is 504, find the other number. Solution: Given: HCF (x, 504) = 28 and LCM (x, 504) = 17640 ...
Example 1: Find the HCF of 27 and 63, if their LCM is 189. Solution: ∵ LCM × HCF = 27 × 63 ⇒ HCF(27, 63) = (27 × 63)/189 = 9 Therefore, the highest common factor of 27 and 63 is 9. Example 2: The product of two numbers is 1701. If their HCF is 9, what is...
Example 1: Find the HCF of 18 and 45, if their LCM is 90. Solution: ∵ LCM × HCF = 18 × 45 ⇒ HCF(18, 45) = (18 × 45)/90 = 9 Therefore, the highest common factor of 18 and 45 is 9. Example 2: For two numbers, HCF = 9 and LCM = 90. If one number is 18, ...
HCF of Two Numbers by Prime Factorization When two numbers, say p and q are exactly divided by the largest possible number, the number is said to be the highest common factor of the respective numbers. When we show the product of two prime numbers, let's say x and y, that is theirpr...
HCF and LCM HCF and LCM Worksheet HCF and LCM Worksheet
Given: HCF = 12 and product of numbers = 4320 ∵ LCM × HCF = product of numbers ⇒ LCM = Product/HCF = 4320/12 Therefore, the LCM is 360. Example 3: Find the HCF of 60 and 72, if their LCM is 360. Solution: ∵ LCM × HCF = 60 × 72 ...
HCF of 18 and 20 Examples Example 1: For two numbers, HCF = 2 and LCM = 180. If one number is 20, find the other number. Solution: Given: HCF (y, 20) = 2 and LCM (y, 20) = 180 ∵ HCF × LCM = 20 × (y) ⇒ y = (HCF × LCM)/20 ⇒ y = (2 × 180)/20 ...
HCF of 196 and 38220 Examples Example 1: For two numbers, HCF = 196 and LCM = 38220. If one number is 196, find the other number. Solution: Given: HCF (x, 196) = 196 and LCM (x, 196) = 38220 ∵ HCF × LCM = 196 × (x) ...