Greatest Common Factor of 5229/94, 7049/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5229/94, 7049/165

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 5229/94,7049/165

Given fractions are 5229/94,7049/165

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 5229,7049

Greatest Common Factor of Numerators i.e. GCF of 5229,7049 is 7 .

LCM of Denominators means LCM of 94,165 as per the given fractions.

LCM of 94,165 is 15510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5229,7049

GCF of Fractions 5229/94,7049/165 is 7/15510

7 5229, 7049
747, 1007

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5229,7049 By Matching Biggest Common Factor Method

Greatest Common Factor of 5229,7049 By Matching Biggest Common Factor Method

Factors of 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1,3,7,9,21,63,83,249,581,747,1743,5229

Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1,7,19,53,133,371,1007,7049

Greatest Common Factor

We found the factors 5229,7049 . The biggest common factor number is the GCF number.
So the greatest common factor 5229,7049 is 7.

Lets's calculate LCM of 94,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 15510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15510

Therefore, the GCF of Fractions 5229/94,7049/165 is 7/15510

Least Common Multiple of 94,165 with GCF Formula

Least Common Multiple of 94,165 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 94,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,165) = 1

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

GCF(94,165) x common factors =1 x 1 = 1

LCM(94,165) = ( 94 × 165 ) / 1

LCM(94,165) = 15510 / 1

LCM(94,165) = 15510


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 5229/94, 7049/165

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 5229/94, 7049/165?

Answer: GCF of Numerators as per given numbers 5229/94, 7049/165 is

GCF of Numerators i.e. for 5229,7049 is 7

LCM of denominators i.e. for 94,165 is 15510.

Thus, GCF of Fractions is 7/15510.Finally, GCF of Fractions for 5229/94, 7049/165 is 7/15510.