Greatest Common Factor of 179/253, 506/955, 870/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 179/253, 506/955, 870/143

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 179/253,506/955,870/143

Given fractions are 179/253,506/955,870/143

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 179,506,870

Greatest Common Factor of Numerators i.e. GCF of 179,506,870 is 1 .

LCM of Denominators means LCM of 253,955,143 as per the given fractions.

LCM of 253,955,143 is 3140995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 179,506,870

GCF of Fractions 179/253,506/955,870/143 is 1/3140995

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

Greatest Common Factor of 179,506,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,506,870 By Matching Biggest Common Factor Method

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 179,506,870 . The biggest common factor number is the GCF number.
So the greatest common factor 179,506,870 is 1.

Lets's calculate LCM of 253,955,143

11 253, 955, 143
23, 955, 13

∴ So the LCM of the given numbers is 11 x 23 x 955 x 13 = 3140995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3140995

Therefore, the GCF of Fractions 179/253,506/955,870/143 is 1/3140995

Least Common Multiple of 253,955,143 with GCF Formula

Least Common Multiple of 253,955,143 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 253,955,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,955,143) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(253,955,143) x common factors =1 x 11 = 11

LCM(253,955,143) = ( 253 × 955 × 143 ) / 11

LCM(253,955,143) = 34550945 / 11

LCM(253,955,143) = 3140995


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 179/253, 506/955, 870/143

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 179/253, 506/955, 870/143?

Answer: GCF of Numerators as per given numbers 179/253, 506/955, 870/143 is

GCF of Numerators i.e. for 179,506,870 is 1

LCM of denominators i.e. for 253,955,143 is 3140995.

Thus, GCF of Fractions is 1/3140995.Finally, GCF of Fractions for 179/253, 506/955, 870/143 is 1/3140995.