Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 782/117,8631/350
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 782,8631
Greatest Common Factor of Numerators i.e. GCF of 782,8631 is 1 .
LCM of Denominators means LCM of 117,350 as per the given fractions.
LCM of 117,350 is 40950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 782,8631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
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
Greatest Common Factor
We found the factors 782,8631 . The biggest common factor number is the GCF number.
So the greatest common factor 782,8631 is 1.
Lets's calculate LCM of 117,350
Given numbers has no common factors except 1. So, there LCM is their product i.e 40950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40950
Therefore, the GCF of Fractions 782/117,8631/350 is 1/40950
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 117,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,350) x common factors =1 x 1 = 1
LCM(117,350) = ( 117 × 350 ) / 1
LCM(117,350) = 40950 / 1
LCM(117,350) = 40950
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 782/117, 8631/350?
Answer: GCF of Numerators as per given numbers 782/117, 8631/350 is
GCF of Numerators i.e. for 782,8631 is 1
LCM of denominators i.e. for 117,350 is 40950.
Thus, GCF of Fractions is 1/40950.Finally, GCF of Fractions for 782/117, 8631/350 is 1/40950.