Greatest Common Factor of 29/643, 1552/7062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/643, 1552/7062

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 29/643,1552/7062

Given fractions are 29/643,1552/7062

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 29,1552

Greatest Common Factor of Numerators i.e. GCF of 29,1552 is 1 .

LCM of Denominators means LCM of 643,7062 as per the given fractions.

LCM of 643,7062 is 4540866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,1552

GCF of Fractions 29/643,1552/7062 is 1/4540866

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

Greatest Common Factor of 29,1552 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,1552 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Greatest Common Factor

We found the factors 29,1552 . The biggest common factor number is the GCF number.
So the greatest common factor 29,1552 is 1.

Lets's calculate LCM of 643,7062

Given numbers has no common factors except 1. So, there LCM is their product i.e 4540866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4540866

Therefore, the GCF of Fractions 29/643,1552/7062 is 1/4540866

Least Common Multiple of 643,7062 with GCF Formula

Least Common Multiple of 643,7062 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 643,7062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,7062) = 1

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

GCF(643,7062) x common factors =1 x 1 = 1

LCM(643,7062) = ( 643 × 7062 ) / 1

LCM(643,7062) = 4540866 / 1

LCM(643,7062) = 4540866


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 29/643, 1552/7062

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 29/643, 1552/7062?

Answer: GCF of Numerators as per given numbers 29/643, 1552/7062 is

GCF of Numerators i.e. for 29,1552 is 1

LCM of denominators i.e. for 643,7062 is 4540866.

Thus, GCF of Fractions is 1/4540866.Finally, GCF of Fractions for 29/643, 1552/7062 is 1/4540866.