Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5304/640,4714/9938
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 5304,4714
Greatest Common Factor of Numerators i.e. GCF of 5304,4714 is 2 .
LCM of Denominators means LCM of 640,9938 as per the given fractions.
LCM of 640,9938 is 3180160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5304,4714
2 | 5304, 4714 |
2652, 2357 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5304
List of positive integer factors of 5304 that divides 5304 without a remainder.
1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Factors of 4714
List of positive integer factors of 4714 that divides 4714 without a remainder.
1,2,2357,4714
Greatest Common Factor
We found the factors 5304,4714 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,4714 is 2.
Lets's calculate LCM of 640,9938
2 | 640, 9938 |
320, 4969 |
∴ So the LCM of the given numbers is 2 x 320 x 4969 = 3180160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3180160
Therefore, the GCF of Fractions 5304/640,4714/9938 is 2/3180160
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 640,9938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,9938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,9938) x common factors =2 x 1 = 2
LCM(640,9938) = ( 640 × 9938 ) / 2
LCM(640,9938) = 6360320 / 2
LCM(640,9938) = 3180160
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 5304/640, 4714/9938?
Answer: GCF of Numerators as per given numbers 5304/640, 4714/9938 is
GCF of Numerators i.e. for 5304,4714 is 2
LCM of denominators i.e. for 640,9938 is 3180160.
Thus, GCF of Fractions is 2/3180160.Finally, GCF of Fractions for 5304/640, 4714/9938 is 2/3180160.