Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 379/177,7671/252
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 379,7671
Greatest Common Factor of Numerators i.e. GCF of 379,7671 is 1 .
LCM of Denominators means LCM of 177,252 as per the given fractions.
LCM of 177,252 is 14868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 379,7671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 7671
List of positive integer factors of 7671 that divides 7671 without a remainder.
1,3,2557,7671
Greatest Common Factor
We found the factors 379,7671 . The biggest common factor number is the GCF number.
So the greatest common factor 379,7671 is 1.
Lets's calculate LCM of 177,252
3 | 177, 252 |
59, 84 |
∴ So the LCM of the given numbers is 3 x 59 x 84 = 14868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14868
Therefore, the GCF of Fractions 379/177,7671/252 is 1/14868
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 177,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,252) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,252) x common factors =3 x 1 = 3
LCM(177,252) = ( 177 × 252 ) / 3
LCM(177,252) = 44604 / 3
LCM(177,252) = 14868
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 379/177, 7671/252?
Answer: GCF of Numerators as per given numbers 379/177, 7671/252 is
GCF of Numerators i.e. for 379,7671 is 1
LCM of denominators i.e. for 177,252 is 14868.
Thus, GCF of Fractions is 1/14868.Finally, GCF of Fractions for 379/177, 7671/252 is 1/14868.