Greatest Common Factor of 4629/646, 5051/9509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4629/646, 5051/9509

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 4629/646,5051/9509

Given fractions are 4629/646,5051/9509

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 4629,5051

Greatest Common Factor of Numerators i.e. GCF of 4629,5051 is 1 .

LCM of Denominators means LCM of 646,9509 as per the given fractions.

LCM of 646,9509 is 6142814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4629,5051

GCF of Fractions 4629/646,5051/9509 is 1/6142814

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

Greatest Common Factor of 4629,5051 By Matching Biggest Common Factor Method

Greatest Common Factor of 4629,5051 By Matching Biggest Common Factor Method

Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1,3,1543,4629

Factors of 5051

List of positive integer factors of 5051 that divides 5051 without a remainder.

1,5051

Greatest Common Factor

We found the factors 4629,5051 . The biggest common factor number is the GCF number.
So the greatest common factor 4629,5051 is 1.

Lets's calculate LCM of 646,9509

Given numbers has no common factors except 1. So, there LCM is their product i.e 6142814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6142814

Therefore, the GCF of Fractions 4629/646,5051/9509 is 1/6142814

Least Common Multiple of 646,9509 with GCF Formula

Least Common Multiple of 646,9509 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 646,9509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,9509) = 1

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

GCF(646,9509) x common factors =1 x 1 = 1

LCM(646,9509) = ( 646 × 9509 ) / 1

LCM(646,9509) = 6142814 / 1

LCM(646,9509) = 6142814


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 4629/646, 5051/9509

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 4629/646, 5051/9509?

Answer: GCF of Numerators as per given numbers 4629/646, 5051/9509 is

GCF of Numerators i.e. for 4629,5051 is 1

LCM of denominators i.e. for 646,9509 is 6142814.

Thus, GCF of Fractions is 1/6142814.Finally, GCF of Fractions for 4629/646, 5051/9509 is 1/6142814.