Greatest Common Factor of 7799/429, 6974/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7799/429, 6974/649

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 7799/429,6974/649

Given fractions are 7799/429,6974/649

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 7799,6974

Greatest Common Factor of Numerators i.e. GCF of 7799,6974 is 11 .

LCM of Denominators means LCM of 429,649 as per the given fractions.

LCM of 429,649 is 25311 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7799,6974

GCF of Fractions 7799/429,6974/649 is 11/25311

11 7799, 6974
709, 634

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7799,6974 By Matching Biggest Common Factor Method

Greatest Common Factor of 7799,6974 By Matching Biggest Common Factor Method

Factors of 7799

List of positive integer factors of 7799 that divides 7799 without a remainder.

1,11,709,7799

Factors of 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1,2,11,22,317,634,3487,6974

Greatest Common Factor

We found the factors 7799,6974 . The biggest common factor number is the GCF number.
So the greatest common factor 7799,6974 is 11.

Lets's calculate LCM of 429,649

11 429, 649
39, 59

∴ So the LCM of the given numbers is 11 x 39 x 59 = 25311

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/25311

Therefore, the GCF of Fractions 7799/429,6974/649 is 11/25311

Least Common Multiple of 429,649 with GCF Formula

Least Common Multiple of 429,649 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 429,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,649) = 11

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

GCF(429,649) x common factors =11 x 1 = 11

LCM(429,649) = ( 429 × 649 ) / 11

LCM(429,649) = 278421 / 11

LCM(429,649) = 25311


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 7799/429, 6974/649

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 7799/429, 6974/649?

Answer: GCF of Numerators as per given numbers 7799/429, 6974/649 is

GCF of Numerators i.e. for 7799,6974 is 11

LCM of denominators i.e. for 429,649 is 25311.

Thus, GCF of Fractions is 11/25311.Finally, GCF of Fractions for 7799/429, 6974/649 is 11/25311.