Greatest Common Factor of 7508/828, 2669/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7508/828, 2669/759

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 7508/828,2669/759

Given fractions are 7508/828,2669/759

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 7508,2669

Greatest Common Factor of Numerators i.e. GCF of 7508,2669 is 1 .

LCM of Denominators means LCM of 828,759 as per the given fractions.

LCM of 828,759 is 9108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7508,2669

GCF of Fractions 7508/828,2669/759 is 1/9108

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

Greatest Common Factor of 7508,2669 By Matching Biggest Common Factor Method

Greatest Common Factor of 7508,2669 By Matching Biggest Common Factor Method

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1,2,4,1877,3754,7508

Factors of 2669

List of positive integer factors of 2669 that divides 2669 without a remainder.

1,17,157,2669

Greatest Common Factor

We found the factors 7508,2669 . The biggest common factor number is the GCF number.
So the greatest common factor 7508,2669 is 1.

Lets's calculate LCM of 828,759

3 828, 759
23 276, 253
12, 11

∴ So the LCM of the given numbers is 3 x 23 x 12 x 11 = 9108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9108

Therefore, the GCF of Fractions 7508/828,2669/759 is 1/9108

Least Common Multiple of 828,759 with GCF Formula

Least Common Multiple of 828,759 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 828,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,759) = 69

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

GCF(828,759) x common factors =69 x 1 = 69

LCM(828,759) = ( 828 × 759 ) / 69

LCM(828,759) = 628452 / 69

LCM(828,759) = 9108


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 7508/828, 2669/759

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 7508/828, 2669/759?

Answer: GCF of Numerators as per given numbers 7508/828, 2669/759 is

GCF of Numerators i.e. for 7508,2669 is 1

LCM of denominators i.e. for 828,759 is 9108.

Thus, GCF of Fractions is 1/9108.Finally, GCF of Fractions for 7508/828, 2669/759 is 1/9108.