Greatest Common Factor of 4162/169, 2759/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4162/169, 2759/585

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 4162/169,2759/585

Given fractions are 4162/169,2759/585

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 4162,2759

Greatest Common Factor of Numerators i.e. GCF of 4162,2759 is 1 .

LCM of Denominators means LCM of 169,585 as per the given fractions.

LCM of 169,585 is 7605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4162,2759

GCF of Fractions 4162/169,2759/585 is 1/7605

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

Greatest Common Factor of 4162,2759 By Matching Biggest Common Factor Method

Greatest Common Factor of 4162,2759 By Matching Biggest Common Factor Method

Factors of 4162

List of positive integer factors of 4162 that divides 4162 without a remainder.

1,2,2081,4162

Factors of 2759

List of positive integer factors of 2759 that divides 2759 without a remainder.

1,31,89,2759

Greatest Common Factor

We found the factors 4162,2759 . The biggest common factor number is the GCF number.
So the greatest common factor 4162,2759 is 1.

Lets's calculate LCM of 169,585

13 169, 585
13, 45

∴ So the LCM of the given numbers is 13 x 13 x 45 = 7605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7605

Therefore, the GCF of Fractions 4162/169,2759/585 is 1/7605

Least Common Multiple of 169,585 with GCF Formula

Least Common Multiple of 169,585 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 169,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,585) = 13

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

GCF(169,585) x common factors =13 x 1 = 13

LCM(169,585) = ( 169 × 585 ) / 13

LCM(169,585) = 98865 / 13

LCM(169,585) = 7605


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 4162/169, 2759/585

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 4162/169, 2759/585?

Answer: GCF of Numerators as per given numbers 4162/169, 2759/585 is

GCF of Numerators i.e. for 4162,2759 is 1

LCM of denominators i.e. for 169,585 is 7605.

Thus, GCF of Fractions is 1/7605.Finally, GCF of Fractions for 4162/169, 2759/585 is 1/7605.