Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8631/619,8138/979
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 8631,8138
Greatest Common Factor of Numerators i.e. GCF of 8631,8138 is 1 .
LCM of Denominators means LCM of 619,979 as per the given fractions.
LCM of 619,979 is 606001 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8631,8138
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8631
List of positive integer factors of 8631 that divides 8631 without a remainder.
1,3,7,9,21,63,137,411,959,1233,2877,8631
Factors of 8138
List of positive integer factors of 8138 that divides 8138 without a remainder.
1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors 8631,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 8631,8138 is 1.
Lets's calculate LCM of 619,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 606001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606001
Therefore, the GCF of Fractions 8631/619,8138/979 is 1/606001
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 619,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,979) x common factors =1 x 1 = 1
LCM(619,979) = ( 619 × 979 ) / 1
LCM(619,979) = 606001 / 1
LCM(619,979) = 606001
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 8631/619, 8138/979?
Answer: GCF of Numerators as per given numbers 8631/619, 8138/979 is
GCF of Numerators i.e. for 8631,8138 is 1
LCM of denominators i.e. for 619,979 is 606001.
Thus, GCF of Fractions is 1/606001.Finally, GCF of Fractions for 8631/619, 8138/979 is 1/606001.