Greatest Common Factor of 7449/863, 6526/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7449/863, 6526/762

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 7449/863,6526/762

Given fractions are 7449/863,6526/762

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 7449,6526

Greatest Common Factor of Numerators i.e. GCF of 7449,6526 is 13 .

LCM of Denominators means LCM of 863,762 as per the given fractions.

LCM of 863,762 is 657606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7449,6526

GCF of Fractions 7449/863,6526/762 is 13/657606

13 7449, 6526
573, 502

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7449,6526 By Matching Biggest Common Factor Method

Greatest Common Factor of 7449,6526 By Matching Biggest Common Factor Method

Factors of 7449

List of positive integer factors of 7449 that divides 7449 without a remainder.

1,3,13,39,191,573,2483,7449

Factors of 6526

List of positive integer factors of 6526 that divides 6526 without a remainder.

1,2,13,26,251,502,3263,6526

Greatest Common Factor

We found the factors 7449,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 7449,6526 is 13.

Lets's calculate LCM of 863,762

Given numbers has no common factors except 1. So, there LCM is their product i.e 657606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/657606

Therefore, the GCF of Fractions 7449/863,6526/762 is 13/657606

Least Common Multiple of 863,762 with GCF Formula

Least Common Multiple of 863,762 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 863,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,762) = 1

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

GCF(863,762) x common factors =1 x 1 = 1

LCM(863,762) = ( 863 × 762 ) / 1

LCM(863,762) = 657606 / 1

LCM(863,762) = 657606


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 7449/863, 6526/762

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 7449/863, 6526/762?

Answer: GCF of Numerators as per given numbers 7449/863, 6526/762 is

GCF of Numerators i.e. for 7449,6526 is 13

LCM of denominators i.e. for 863,762 is 657606.

Thus, GCF of Fractions is 13/657606.Finally, GCF of Fractions for 7449/863, 6526/762 is 13/657606.