Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9278/495,6129/229
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 9278,6129
Greatest Common Factor of Numerators i.e. GCF of 9278,6129 is 1 .
LCM of Denominators means LCM of 495,229 as per the given fractions.
LCM of 495,229 is 113355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9278,6129
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9278
List of positive integer factors of 9278 that divides 9278 without a remainder.
1,2,4639,9278
Factors of 6129
List of positive integer factors of 6129 that divides 6129 without a remainder.
1,3,9,27,227,681,2043,6129
Greatest Common Factor
We found the factors 9278,6129 . The biggest common factor number is the GCF number.
So the greatest common factor 9278,6129 is 1.
Lets's calculate LCM of 495,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 113355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113355
Therefore, the GCF of Fractions 9278/495,6129/229 is 1/113355
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 495,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,229) x common factors =1 x 1 = 1
LCM(495,229) = ( 495 × 229 ) / 1
LCM(495,229) = 113355 / 1
LCM(495,229) = 113355
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 9278/495, 6129/229?
Answer: GCF of Numerators as per given numbers 9278/495, 6129/229 is
GCF of Numerators i.e. for 9278,6129 is 1
LCM of denominators i.e. for 495,229 is 113355.
Thus, GCF of Fractions is 1/113355.Finally, GCF of Fractions for 9278/495, 6129/229 is 1/113355.