Greatest Common Factor of 7119/94, 7434/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7119/94, 7434/460

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 7119/94,7434/460

Given fractions are 7119/94,7434/460

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 7119,7434

Greatest Common Factor of Numerators i.e. GCF of 7119,7434 is 63 .

LCM of Denominators means LCM of 94,460 as per the given fractions.

LCM of 94,460 is 21620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7119,7434

GCF of Fractions 7119/94,7434/460 is 63/21620

3 7119, 7434
3 2373, 2478
7 791, 826
113, 118

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Greatest Common Factor of 7119,7434 By Matching Biggest Common Factor Method

Greatest Common Factor of 7119,7434 By Matching Biggest Common Factor Method

Factors of 7119

List of positive integer factors of 7119 that divides 7119 without a remainder.

1,3,7,9,21,63,113,339,791,1017,2373,7119

Factors of 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434

Greatest Common Factor

We found the factors 7119,7434 . The biggest common factor number is the GCF number.
So the greatest common factor 7119,7434 is 63.

Lets's calculate LCM of 94,460

2 94, 460
47, 230

∴ So the LCM of the given numbers is 2 x 47 x 230 = 21620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/21620

Therefore, the GCF of Fractions 7119/94,7434/460 is 63/21620

Least Common Multiple of 94,460 with GCF Formula

Least Common Multiple of 94,460 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 94,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,460) = 2

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

GCF(94,460) x common factors =2 x 1 = 2

LCM(94,460) = ( 94 × 460 ) / 2

LCM(94,460) = 43240 / 2

LCM(94,460) = 21620


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 7119/94, 7434/460

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 7119/94, 7434/460?

Answer: GCF of Numerators as per given numbers 7119/94, 7434/460 is

GCF of Numerators i.e. for 7119,7434 is 63

LCM of denominators i.e. for 94,460 is 21620.

Thus, GCF of Fractions is 63/21620.Finally, GCF of Fractions for 7119/94, 7434/460 is 63/21620.