Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/515,8172/118
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 635,8172
Greatest Common Factor of Numerators i.e. GCF of 635,8172 is 1 .
LCM of Denominators means LCM of 515,118 as per the given fractions.
LCM of 515,118 is 60770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 635,8172
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 8172
List of positive integer factors of 8172 that divides 8172 without a remainder.
1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors 635,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 635,8172 is 1.
Lets's calculate LCM of 515,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 60770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60770
Therefore, the GCF of Fractions 635/515,8172/118 is 1/60770
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 515,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,118) x common factors =1 x 1 = 1
LCM(515,118) = ( 515 × 118 ) / 1
LCM(515,118) = 60770 / 1
LCM(515,118) = 60770
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 635/515, 8172/118?
Answer: GCF of Numerators as per given numbers 635/515, 8172/118 is
GCF of Numerators i.e. for 635,8172 is 1
LCM of denominators i.e. for 515,118 is 60770.
Thus, GCF of Fractions is 1/60770.Finally, GCF of Fractions for 635/515, 8172/118 is 1/60770.