Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2456/66,6376/952
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 2456,6376
Greatest Common Factor of Numerators i.e. GCF of 2456,6376 is 8 .
LCM of Denominators means LCM of 66,952 as per the given fractions.
LCM of 66,952 is 31416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2456,6376
2 | 2456, 6376 |
2 | 1228, 3188 |
2 | 614, 1594 |
307, 797 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 2456
List of positive integer factors of 2456 that divides 2456 without a remainder.
1,2,4,8,307,614,1228,2456
Factors of 6376
List of positive integer factors of 6376 that divides 6376 without a remainder.
1,2,4,8,797,1594,3188,6376
Greatest Common Factor
We found the factors 2456,6376 . The biggest common factor number is the GCF number.
So the greatest common factor 2456,6376 is 8.
Lets's calculate LCM of 66,952
2 | 66, 952 |
33, 476 |
∴ So the LCM of the given numbers is 2 x 33 x 476 = 31416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/31416
Therefore, the GCF of Fractions 2456/66,6376/952 is 8/31416
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 66,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,952) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,952) x common factors =2 x 1 = 2
LCM(66,952) = ( 66 × 952 ) / 2
LCM(66,952) = 62832 / 2
LCM(66,952) = 31416
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 2456/66, 6376/952?
Answer: GCF of Numerators as per given numbers 2456/66, 6376/952 is
GCF of Numerators i.e. for 2456,6376 is 8
LCM of denominators i.e. for 66,952 is 31416.
Thus, GCF of Fractions is 8/31416.Finally, GCF of Fractions for 2456/66, 6376/952 is 8/31416.