Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9775/123,2314/788
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 9775,2314
Greatest Common Factor of Numerators i.e. GCF of 9775,2314 is 1 .
LCM of Denominators means LCM of 123,788 as per the given fractions.
LCM of 123,788 is 96924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9775,2314
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9775
List of positive integer factors of 9775 that divides 9775 without a remainder.
1,5,17,23,25,85,115,391,425,575,1955,9775
Factors of 2314
List of positive integer factors of 2314 that divides 2314 without a remainder.
1,2,13,26,89,178,1157,2314
Greatest Common Factor
We found the factors 9775,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 9775,2314 is 1.
Lets's calculate LCM of 123,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 96924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96924
Therefore, the GCF of Fractions 9775/123,2314/788 is 1/96924
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 123,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,788) x common factors =1 x 1 = 1
LCM(123,788) = ( 123 × 788 ) / 1
LCM(123,788) = 96924 / 1
LCM(123,788) = 96924
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 9775/123, 2314/788?
Answer: GCF of Numerators as per given numbers 9775/123, 2314/788 is
GCF of Numerators i.e. for 9775,2314 is 1
LCM of denominators i.e. for 123,788 is 96924.
Thus, GCF of Fractions is 1/96924.Finally, GCF of Fractions for 9775/123, 2314/788 is 1/96924.