Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7521/714,6498/5942
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 7521,6498
Greatest Common Factor of Numerators i.e. GCF of 7521,6498 is 3 .
LCM of Denominators means LCM of 714,5942 as per the given fractions.
LCM of 714,5942 is 2121294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7521,6498
3 | 7521, 6498 |
2507, 2166 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7521
List of positive integer factors of 7521 that divides 7521 without a remainder.
1,3,23,69,109,327,2507,7521
Factors of 6498
List of positive integer factors of 6498 that divides 6498 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Greatest Common Factor
We found the factors 7521,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 7521,6498 is 3.
Lets's calculate LCM of 714,5942
2 | 714, 5942 |
357, 2971 |
∴ So the LCM of the given numbers is 2 x 357 x 2971 = 2121294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2121294
Therefore, the GCF of Fractions 7521/714,6498/5942 is 3/2121294
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 714,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,5942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,5942) x common factors =2 x 1 = 2
LCM(714,5942) = ( 714 × 5942 ) / 2
LCM(714,5942) = 4242588 / 2
LCM(714,5942) = 2121294
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 7521/714, 6498/5942?
Answer: GCF of Numerators as per given numbers 7521/714, 6498/5942 is
GCF of Numerators i.e. for 7521,6498 is 3
LCM of denominators i.e. for 714,5942 is 2121294.
Thus, GCF of Fractions is 3/2121294.Finally, GCF of Fractions for 7521/714, 6498/5942 is 3/2121294.