Greatest Common Factor of 1013/58, 7646/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1013/58, 7646/640

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 1013/58,7646/640

Given fractions are 1013/58,7646/640

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 1013,7646

Greatest Common Factor of Numerators i.e. GCF of 1013,7646 is 1 .

LCM of Denominators means LCM of 58,640 as per the given fractions.

LCM of 58,640 is 18560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1013,7646

GCF of Fractions 1013/58,7646/640 is 1/18560

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

Greatest Common Factor of 1013,7646 By Matching Biggest Common Factor Method

Greatest Common Factor of 1013,7646 By Matching Biggest Common Factor Method

Factors of 1013

List of positive integer factors of 1013 that divides 1013 without a remainder.

1,1013

Factors of 7646

List of positive integer factors of 7646 that divides 7646 without a remainder.

1,2,3823,7646

Greatest Common Factor

We found the factors 1013,7646 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,7646 is 1.

Lets's calculate LCM of 58,640

2 58, 640
29, 320

∴ So the LCM of the given numbers is 2 x 29 x 320 = 18560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18560

Therefore, the GCF of Fractions 1013/58,7646/640 is 1/18560

Least Common Multiple of 58,640 with GCF Formula

Least Common Multiple of 58,640 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 58,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,640) = 2

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

GCF(58,640) x common factors =2 x 1 = 2

LCM(58,640) = ( 58 × 640 ) / 2

LCM(58,640) = 37120 / 2

LCM(58,640) = 18560


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 1013/58, 7646/640

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 1013/58, 7646/640?

Answer: GCF of Numerators as per given numbers 1013/58, 7646/640 is

GCF of Numerators i.e. for 1013,7646 is 1

LCM of denominators i.e. for 58,640 is 18560.

Thus, GCF of Fractions is 1/18560.Finally, GCF of Fractions for 1013/58, 7646/640 is 1/18560.