Greatest Common Factor of 7513/701, 7586/8061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7513/701, 7586/8061

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 7513/701,7586/8061

Given fractions are 7513/701,7586/8061

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 7513,7586

Greatest Common Factor of Numerators i.e. GCF of 7513,7586 is 1 .

LCM of Denominators means LCM of 701,8061 as per the given fractions.

LCM of 701,8061 is 5650761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7513,7586

GCF of Fractions 7513/701,7586/8061 is 1/5650761

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

Greatest Common Factor of 7513,7586 By Matching Biggest Common Factor Method

Greatest Common Factor of 7513,7586 By Matching Biggest Common Factor Method

Factors of 7513

List of positive integer factors of 7513 that divides 7513 without a remainder.

1,11,683,7513

Factors of 7586

List of positive integer factors of 7586 that divides 7586 without a remainder.

1,2,3793,7586

Greatest Common Factor

We found the factors 7513,7586 . The biggest common factor number is the GCF number.
So the greatest common factor 7513,7586 is 1.

Lets's calculate LCM of 701,8061

Given numbers has no common factors except 1. So, there LCM is their product i.e 5650761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5650761

Therefore, the GCF of Fractions 7513/701,7586/8061 is 1/5650761

Least Common Multiple of 701,8061 with GCF Formula

Least Common Multiple of 701,8061 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 701,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,8061) = 1

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

GCF(701,8061) x common factors =1 x 1 = 1

LCM(701,8061) = ( 701 × 8061 ) / 1

LCM(701,8061) = 5650761 / 1

LCM(701,8061) = 5650761


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 7513/701, 7586/8061

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 7513/701, 7586/8061?

Answer: GCF of Numerators as per given numbers 7513/701, 7586/8061 is

GCF of Numerators i.e. for 7513,7586 is 1

LCM of denominators i.e. for 701,8061 is 5650761.

Thus, GCF of Fractions is 1/5650761.Finally, GCF of Fractions for 7513/701, 7586/8061 is 1/5650761.