Greatest Common Factor of 7629/348, 7786/3984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7629/348, 7786/3984

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 7629/348,7786/3984

Given fractions are 7629/348,7786/3984

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 7629,7786

Greatest Common Factor of Numerators i.e. GCF of 7629,7786 is 1 .

LCM of Denominators means LCM of 348,3984 as per the given fractions.

LCM of 348,3984 is 115536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7629,7786

GCF of Fractions 7629/348,7786/3984 is 1/115536

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

Greatest Common Factor of 7629,7786 By Matching Biggest Common Factor Method

Greatest Common Factor of 7629,7786 By Matching Biggest Common Factor Method

Factors of 7629

List of positive integer factors of 7629 that divides 7629 without a remainder.

1,3,2543,7629

Factors of 7786

List of positive integer factors of 7786 that divides 7786 without a remainder.

1,2,17,34,229,458,3893,7786

Greatest Common Factor

We found the factors 7629,7786 . The biggest common factor number is the GCF number.
So the greatest common factor 7629,7786 is 1.

Lets's calculate LCM of 348,3984

2 348, 3984
2 174, 1992
3 87, 996
29, 332

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 332 = 115536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115536

Therefore, the GCF of Fractions 7629/348,7786/3984 is 1/115536

Least Common Multiple of 348,3984 with GCF Formula

Least Common Multiple of 348,3984 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 348,3984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,3984) = 12

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

GCF(348,3984) x common factors =12 x 1 = 12

LCM(348,3984) = ( 348 × 3984 ) / 12

LCM(348,3984) = 1386432 / 12

LCM(348,3984) = 115536


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 7629/348, 7786/3984

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 7629/348, 7786/3984?

Answer: GCF of Numerators as per given numbers 7629/348, 7786/3984 is

GCF of Numerators i.e. for 7629,7786 is 1

LCM of denominators i.e. for 348,3984 is 115536.

Thus, GCF of Fractions is 1/115536.Finally, GCF of Fractions for 7629/348, 7786/3984 is 1/115536.