Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8137/74,2562/372
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 8137,2562
Greatest Common Factor of Numerators i.e. GCF of 8137,2562 is 1 .
LCM of Denominators means LCM of 74,372 as per the given fractions.
LCM of 74,372 is 13764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8137,2562
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8137
List of positive integer factors of 8137 that divides 8137 without a remainder.
1,79,103,8137
Factors of 2562
List of positive integer factors of 2562 that divides 2562 without a remainder.
1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Greatest Common Factor
We found the factors 8137,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 8137,2562 is 1.
Lets's calculate LCM of 74,372
2 | 74, 372 |
37, 186 |
∴ So the LCM of the given numbers is 2 x 37 x 186 = 13764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13764
Therefore, the GCF of Fractions 8137/74,2562/372 is 1/13764
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 74,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,372) x common factors =2 x 1 = 2
LCM(74,372) = ( 74 × 372 ) / 2
LCM(74,372) = 27528 / 2
LCM(74,372) = 13764
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 8137/74, 2562/372?
Answer: GCF of Numerators as per given numbers 8137/74, 2562/372 is
GCF of Numerators i.e. for 8137,2562 is 1
LCM of denominators i.e. for 74,372 is 13764.
Thus, GCF of Fractions is 1/13764.Finally, GCF of Fractions for 8137/74, 2562/372 is 1/13764.