Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3762/58,9970/131
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 3762,9970
Greatest Common Factor of Numerators i.e. GCF of 3762,9970 is 2 .
LCM of Denominators means LCM of 58,131 as per the given fractions.
LCM of 58,131 is 7598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3762,9970
2 | 3762, 9970 |
1881, 4985 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3762
List of positive integer factors of 3762 that divides 3762 without a remainder.
1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762
Factors of 9970
List of positive integer factors of 9970 that divides 9970 without a remainder.
1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 3762,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 3762,9970 is 2.
Lets's calculate LCM of 58,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 7598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7598
Therefore, the GCF of Fractions 3762/58,9970/131 is 2/7598
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 58,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,131) x common factors =1 x 1 = 1
LCM(58,131) = ( 58 × 131 ) / 1
LCM(58,131) = 7598 / 1
LCM(58,131) = 7598
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 3762/58, 9970/131?
Answer: GCF of Numerators as per given numbers 3762/58, 9970/131 is
GCF of Numerators i.e. for 3762,9970 is 2
LCM of denominators i.e. for 58,131 is 7598.
Thus, GCF of Fractions is 2/7598.Finally, GCF of Fractions for 3762/58, 9970/131 is 2/7598.