Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/49,12/96,56/718,364/543
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 4,12,56,364
Greatest Common Factor of Numerators i.e. GCF of 4,12,56,364 is 4 .
LCM of Denominators means LCM of 49,96,718,543 as per the given fractions.
LCM of 49,96,718,543 is 305661216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,12,56,364
2 | 4, 12, 56, 364 |
2 | 2, 6, 28, 182 |
1, 3, 14, 91 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 4,12,56,364 . The biggest common factor number is the GCF number.
So the greatest common factor 4,12,56,364 is 4.
Lets's calculate LCM of 49,96,718,543
2 | 49, 96, 718, 543 |
3 | 49, 48, 359, 543 |
49, 16, 359, 181 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 16 x 359 x 181 = 305661216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/305661216
Therefore, the GCF of Fractions 4/49,12/96,56/718,364/543 is 4/305661216
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 49,96,718,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,96,718,543) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(49,96,718,543) x common factors =1 x 6 = 6
LCM(49,96,718,543) = ( 49 × 96 × 718 × 543 ) / 6
LCM(49,96,718,543) = 1833967296 / 6
LCM(49,96,718,543) = 305661216
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 4/49, 12/96, 56/718, 364/543?
Answer: GCF of Numerators as per given numbers 4/49, 12/96, 56/718, 364/543 is
GCF of Numerators i.e. for 4,12,56,364 is 4
LCM of denominators i.e. for 49,96,718,543 is 305661216.
Thus, GCF of Fractions is 4/305661216.Finally, GCF of Fractions for 4/49, 12/96, 56/718, 364/543 is 4/305661216.