Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/9938,375/6130
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 832,375
Greatest Common Factor of Numerators i.e. GCF of 832,375 is 1 .
LCM of Denominators means LCM of 9938,6130 as per the given fractions.
LCM of 9938,6130 is 30459970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 832,375 . The biggest common factor number is the GCF number.
So the greatest common factor 832,375 is 1.
Lets's calculate LCM of 9938,6130
2 | 9938, 6130 |
4969, 3065 |
∴ So the LCM of the given numbers is 2 x 4969 x 3065 = 30459970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30459970
Therefore, the GCF of Fractions 832/9938,375/6130 is 1/30459970
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 9938,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9938,6130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9938,6130) x common factors =2 x 1 = 2
LCM(9938,6130) = ( 9938 × 6130 ) / 2
LCM(9938,6130) = 60919940 / 2
LCM(9938,6130) = 30459970
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 832/9938, 375/6130?
Answer: GCF of Numerators as per given numbers 832/9938, 375/6130 is
GCF of Numerators i.e. for 832,375 is 1
LCM of denominators i.e. for 9938,6130 is 30459970.
Thus, GCF of Fractions is 1/30459970.Finally, GCF of Fractions for 832/9938, 375/6130 is 1/30459970.