Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/635,3979/8554
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 925,3979
Greatest Common Factor of Numerators i.e. GCF of 925,3979 is 1 .
LCM of Denominators means LCM of 635,8554 as per the given fractions.
LCM of 635,8554 is 5431790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,3979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 3979
List of positive integer factors of 3979 that divides 3979 without a remainder.
1,23,173,3979
Greatest Common Factor
We found the factors 925,3979 . The biggest common factor number is the GCF number.
So the greatest common factor 925,3979 is 1.
Lets's calculate LCM of 635,8554
Given numbers has no common factors except 1. So, there LCM is their product i.e 5431790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5431790
Therefore, the GCF of Fractions 925/635,3979/8554 is 1/5431790
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 635,8554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,8554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,8554) x common factors =1 x 1 = 1
LCM(635,8554) = ( 635 × 8554 ) / 1
LCM(635,8554) = 5431790 / 1
LCM(635,8554) = 5431790
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 925/635, 3979/8554?
Answer: GCF of Numerators as per given numbers 925/635, 3979/8554 is
GCF of Numerators i.e. for 925,3979 is 1
LCM of denominators i.e. for 635,8554 is 5431790.
Thus, GCF of Fractions is 1/5431790.Finally, GCF of Fractions for 925/635, 3979/8554 is 1/5431790.