Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 647/474,7115/514
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 647,7115
Greatest Common Factor of Numerators i.e. GCF of 647,7115 is 1 .
LCM of Denominators means LCM of 474,514 as per the given fractions.
LCM of 474,514 is 121818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 647,7115
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 7115
List of positive integer factors of 7115 that divides 7115 without a remainder.
1,5,1423,7115
Greatest Common Factor
We found the factors 647,7115 . The biggest common factor number is the GCF number.
So the greatest common factor 647,7115 is 1.
Lets's calculate LCM of 474,514
2 | 474, 514 |
237, 257 |
∴ So the LCM of the given numbers is 2 x 237 x 257 = 121818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121818
Therefore, the GCF of Fractions 647/474,7115/514 is 1/121818
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 474,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,514) x common factors =2 x 1 = 2
LCM(474,514) = ( 474 × 514 ) / 2
LCM(474,514) = 243636 / 2
LCM(474,514) = 121818
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 647/474, 7115/514?
Answer: GCF of Numerators as per given numbers 647/474, 7115/514 is
GCF of Numerators i.e. for 647,7115 is 1
LCM of denominators i.e. for 474,514 is 121818.
Thus, GCF of Fractions is 1/121818.Finally, GCF of Fractions for 647/474, 7115/514 is 1/121818.