Greatest Common Factor of 1759/82, 3175/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1759/82, 3175/167

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 1759/82,3175/167

Given fractions are 1759/82,3175/167

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 1759,3175

Greatest Common Factor of Numerators i.e. GCF of 1759,3175 is 1 .

LCM of Denominators means LCM of 82,167 as per the given fractions.

LCM of 82,167 is 13694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1759,3175

GCF of Fractions 1759/82,3175/167 is 1/13694

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

Greatest Common Factor of 1759,3175 By Matching Biggest Common Factor Method

Greatest Common Factor of 1759,3175 By Matching Biggest Common Factor Method

Factors of 1759

List of positive integer factors of 1759 that divides 1759 without a remainder.

1,1759

Factors of 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1,5,25,127,635,3175

Greatest Common Factor

We found the factors 1759,3175 . The biggest common factor number is the GCF number.
So the greatest common factor 1759,3175 is 1.

Lets's calculate LCM of 82,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 13694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13694

Therefore, the GCF of Fractions 1759/82,3175/167 is 1/13694

Least Common Multiple of 82,167 with GCF Formula

Least Common Multiple of 82,167 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 82,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,167) = 1

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

GCF(82,167) x common factors =1 x 1 = 1

LCM(82,167) = ( 82 × 167 ) / 1

LCM(82,167) = 13694 / 1

LCM(82,167) = 13694


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 1759/82, 3175/167

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 1759/82, 3175/167?

Answer: GCF of Numerators as per given numbers 1759/82, 3175/167 is

GCF of Numerators i.e. for 1759,3175 is 1

LCM of denominators i.e. for 82,167 is 13694.

Thus, GCF of Fractions is 1/13694.Finally, GCF of Fractions for 1759/82, 3175/167 is 1/13694.