Greatest Common Factor of 6907/179, 1504/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6907/179, 1504/106

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 6907/179,1504/106

Given fractions are 6907/179,1504/106

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 6907,1504

Greatest Common Factor of Numerators i.e. GCF of 6907,1504 is 1 .

LCM of Denominators means LCM of 179,106 as per the given fractions.

LCM of 179,106 is 18974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6907,1504

GCF of Fractions 6907/179,1504/106 is 1/18974

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

Greatest Common Factor of 6907,1504 By Matching Biggest Common Factor Method

Greatest Common Factor of 6907,1504 By Matching Biggest Common Factor Method

Factors of 6907

List of positive integer factors of 6907 that divides 6907 without a remainder.

1,6907

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1,2,4,8,16,32,47,94,188,376,752,1504

Greatest Common Factor

We found the factors 6907,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 6907,1504 is 1.

Lets's calculate LCM of 179,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 18974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18974

Therefore, the GCF of Fractions 6907/179,1504/106 is 1/18974

Least Common Multiple of 179,106 with GCF Formula

Least Common Multiple of 179,106 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 179,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,106) = 1

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

GCF(179,106) x common factors =1 x 1 = 1

LCM(179,106) = ( 179 × 106 ) / 1

LCM(179,106) = 18974 / 1

LCM(179,106) = 18974


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 6907/179, 1504/106

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 6907/179, 1504/106?

Answer: GCF of Numerators as per given numbers 6907/179, 1504/106 is

GCF of Numerators i.e. for 6907,1504 is 1

LCM of denominators i.e. for 179,106 is 18974.

Thus, GCF of Fractions is 1/18974.Finally, GCF of Fractions for 6907/179, 1504/106 is 1/18974.