Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5956/957,6224/8340
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 5956,6224
Greatest Common Factor of Numerators i.e. GCF of 5956,6224 is 4 .
LCM of Denominators means LCM of 957,8340 as per the given fractions.
LCM of 957,8340 is 2660460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5956,6224
2 | 5956, 6224 |
2 | 2978, 3112 |
1489, 1556 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 5956
List of positive integer factors of 5956 that divides 5956 without a remainder.
1,2,4,1489,2978,5956
Factors of 6224
List of positive integer factors of 6224 that divides 6224 without a remainder.
1,2,4,8,16,389,778,1556,3112,6224
Greatest Common Factor
We found the factors 5956,6224 . The biggest common factor number is the GCF number.
So the greatest common factor 5956,6224 is 4.
Lets's calculate LCM of 957,8340
3 | 957, 8340 |
319, 2780 |
∴ So the LCM of the given numbers is 3 x 319 x 2780 = 2660460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2660460
Therefore, the GCF of Fractions 5956/957,6224/8340 is 4/2660460
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 957,8340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,8340) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(957,8340) x common factors =3 x 1 = 3
LCM(957,8340) = ( 957 × 8340 ) / 3
LCM(957,8340) = 7981380 / 3
LCM(957,8340) = 2660460
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 5956/957, 6224/8340?
Answer: GCF of Numerators as per given numbers 5956/957, 6224/8340 is
GCF of Numerators i.e. for 5956,6224 is 4
LCM of denominators i.e. for 957,8340 is 2660460.
Thus, GCF of Fractions is 4/2660460.Finally, GCF of Fractions for 5956/957, 6224/8340 is 4/2660460.