Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/567,7231/314
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 129,7231
Greatest Common Factor of Numerators i.e. GCF of 129,7231 is 1 .
LCM of Denominators means LCM of 567,314 as per the given fractions.
LCM of 567,314 is 178038 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 129,7231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 7231
List of positive integer factors of 7231 that divides 7231 without a remainder.
1,7,1033,7231
Greatest Common Factor
We found the factors 129,7231 . The biggest common factor number is the GCF number.
So the greatest common factor 129,7231 is 1.
Lets's calculate LCM of 567,314
Given numbers has no common factors except 1. So, there LCM is their product i.e 178038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178038
Therefore, the GCF of Fractions 129/567,7231/314 is 1/178038
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 567,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,314) x common factors =1 x 1 = 1
LCM(567,314) = ( 567 × 314 ) / 1
LCM(567,314) = 178038 / 1
LCM(567,314) = 178038
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 129/567, 7231/314?
Answer: GCF of Numerators as per given numbers 129/567, 7231/314 is
GCF of Numerators i.e. for 129,7231 is 1
LCM of denominators i.e. for 567,314 is 178038.
Thus, GCF of Fractions is 1/178038.Finally, GCF of Fractions for 129/567, 7231/314 is 1/178038.