Greatest Common Factor of 2669/637, 7683/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2669/637, 7683/704

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 2669/637,7683/704

Given fractions are 2669/637,7683/704

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 2669,7683

Greatest Common Factor of Numerators i.e. GCF of 2669,7683 is 1 .

LCM of Denominators means LCM of 637,704 as per the given fractions.

LCM of 637,704 is 448448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2669,7683

GCF of Fractions 2669/637,7683/704 is 1/448448

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

Greatest Common Factor of 2669,7683 By Matching Biggest Common Factor Method

Greatest Common Factor of 2669,7683 By Matching Biggest Common Factor Method

Factors of 2669

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

1,17,157,2669

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1,3,13,39,197,591,2561,7683

Greatest Common Factor

We found the factors 2669,7683 . The biggest common factor number is the GCF number.
So the greatest common factor 2669,7683 is 1.

Lets's calculate LCM of 637,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 448448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448448

Therefore, the GCF of Fractions 2669/637,7683/704 is 1/448448

Least Common Multiple of 637,704 with GCF Formula

Least Common Multiple of 637,704 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 637,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,704) = 1

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

GCF(637,704) x common factors =1 x 1 = 1

LCM(637,704) = ( 637 × 704 ) / 1

LCM(637,704) = 448448 / 1

LCM(637,704) = 448448


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 2669/637, 7683/704

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 2669/637, 7683/704?

Answer: GCF of Numerators as per given numbers 2669/637, 7683/704 is

GCF of Numerators i.e. for 2669,7683 is 1

LCM of denominators i.e. for 637,704 is 448448.

Thus, GCF of Fractions is 1/448448.Finally, GCF of Fractions for 2669/637, 7683/704 is 1/448448.