Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 458/702,537/267,101/989
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 458,537,101
Greatest Common Factor of Numerators i.e. GCF of 458,537,101 is 1 .
LCM of Denominators means LCM of 702,267,989 as per the given fractions.
LCM of 702,267,989 is 61790742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 458,537,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 458,537,101 . The biggest common factor number is the GCF number.
So the greatest common factor 458,537,101 is 1.
Lets's calculate LCM of 702,267,989
3 | 702, 267, 989 |
234, 89, 989 |
∴ So the LCM of the given numbers is 3 x 234 x 89 x 989 = 61790742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61790742
Therefore, the GCF of Fractions 458/702,537/267,101/989 is 1/61790742
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 702,267,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,267,989) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(702,267,989) x common factors =1 x 3 = 3
LCM(702,267,989) = ( 702 × 267 × 989 ) / 3
LCM(702,267,989) = 185372226 / 3
LCM(702,267,989) = 61790742
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 458/702, 537/267, 101/989?
Answer: GCF of Numerators as per given numbers 458/702, 537/267, 101/989 is
GCF of Numerators i.e. for 458,537,101 is 1
LCM of denominators i.e. for 702,267,989 is 61790742.
Thus, GCF of Fractions is 1/61790742.Finally, GCF of Fractions for 458/702, 537/267, 101/989 is 1/61790742.