Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 524/510,2714/723
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 524,2714
Greatest Common Factor of Numerators i.e. GCF of 524,2714 is 2 .
LCM of Denominators means LCM of 510,723 as per the given fractions.
LCM of 510,723 is 122910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 524,2714
2 | 524, 2714 |
262, 1357 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 2714
List of positive integer factors of 2714 that divides 2714 without a remainder.
1,2,23,46,59,118,1357,2714
Greatest Common Factor
We found the factors 524,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 524,2714 is 2.
Lets's calculate LCM of 510,723
3 | 510, 723 |
170, 241 |
∴ So the LCM of the given numbers is 3 x 170 x 241 = 122910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122910
Therefore, the GCF of Fractions 524/510,2714/723 is 2/122910
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 510,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(510,723) x common factors =3 x 1 = 3
LCM(510,723) = ( 510 × 723 ) / 3
LCM(510,723) = 368730 / 3
LCM(510,723) = 122910
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 524/510, 2714/723?
Answer: GCF of Numerators as per given numbers 524/510, 2714/723 is
GCF of Numerators i.e. for 524,2714 is 2
LCM of denominators i.e. for 510,723 is 122910.
Thus, GCF of Fractions is 2/122910.Finally, GCF of Fractions for 524/510, 2714/723 is 2/122910.