Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7728/91,1882/156
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 7728,1882
Greatest Common Factor of Numerators i.e. GCF of 7728,1882 is 2 .
LCM of Denominators means LCM of 91,156 as per the given fractions.
LCM of 91,156 is 1092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7728,1882
2 | 7728, 1882 |
3864, 941 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7728
List of positive integer factors of 7728 that divides 7728 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Factors of 1882
List of positive integer factors of 1882 that divides 1882 without a remainder.
1,2,941,1882
Greatest Common Factor
We found the factors 7728,1882 . The biggest common factor number is the GCF number.
So the greatest common factor 7728,1882 is 2.
Lets's calculate LCM of 91,156
13 | 91, 156 |
7, 12 |
∴ So the LCM of the given numbers is 13 x 7 x 12 = 1092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1092
Therefore, the GCF of Fractions 7728/91,1882/156 is 2/1092
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 91,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,156) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(91,156) x common factors =13 x 1 = 13
LCM(91,156) = ( 91 × 156 ) / 13
LCM(91,156) = 14196 / 13
LCM(91,156) = 1092
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 7728/91, 1882/156?
Answer: GCF of Numerators as per given numbers 7728/91, 1882/156 is
GCF of Numerators i.e. for 7728,1882 is 2
LCM of denominators i.e. for 91,156 is 1092.
Thus, GCF of Fractions is 2/1092.Finally, GCF of Fractions for 7728/91, 1882/156 is 2/1092.