Greatest Common Factor of 7129/496, 2956/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7129/496, 2956/839

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7129/496,2956/839

Given fractions are 7129/496,2956/839

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 7129,2956

Greatest Common Factor of Numerators i.e. GCF of 7129,2956 is 1 .

LCM of Denominators means LCM of 496,839 as per the given fractions.

LCM of 496,839 is 416144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7129,2956

GCF of Fractions 7129/496,2956/839 is 1/416144

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7129,2956 By Matching Biggest Common Factor Method

Greatest Common Factor of 7129,2956 By Matching Biggest Common Factor Method

Factors of 7129

List of positive integer factors of 7129 that divides 7129 without a remainder.

1,7129

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1,2,4,739,1478,2956

Greatest Common Factor

We found the factors 7129,2956 . The biggest common factor number is the GCF number.
So the greatest common factor 7129,2956 is 1.

Lets's calculate LCM of 496,839

Given numbers has no common factors except 1. So, there LCM is their product i.e 416144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416144

Therefore, the GCF of Fractions 7129/496,2956/839 is 1/416144

Least Common Multiple of 496,839 with GCF Formula

Least Common Multiple of 496,839 with GCF Formula

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 496,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,839) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(496,839) x common factors =1 x 1 = 1

LCM(496,839) = ( 496 × 839 ) / 1

LCM(496,839) = 416144 / 1

LCM(496,839) = 416144


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7129/496, 2956/839

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 7129/496, 2956/839?

Answer: GCF of Numerators as per given numbers 7129/496, 2956/839 is

GCF of Numerators i.e. for 7129,2956 is 1

LCM of denominators i.e. for 496,839 is 416144.

Thus, GCF of Fractions is 1/416144.Finally, GCF of Fractions for 7129/496, 2956/839 is 1/416144.