Greatest Common Factor of 79/536, 140/306, 586/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/536, 140/306, 586/169

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 79/536,140/306,586/169

Given fractions are 79/536,140/306,586/169

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 79,140,586

Greatest Common Factor of Numerators i.e. GCF of 79,140,586 is 1 .

LCM of Denominators means LCM of 536,306,169 as per the given fractions.

LCM of 536,306,169 is 13859352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,140,586

GCF of Fractions 79/536,140/306,586/169 is 1/13859352

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

Greatest Common Factor of 79,140,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,140,586 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 79,140,586 . The biggest common factor number is the GCF number.
So the greatest common factor 79,140,586 is 1.

Lets's calculate LCM of 536,306,169

2 536, 306, 169
268, 153, 169

∴ So the LCM of the given numbers is 2 x 268 x 153 x 169 = 13859352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13859352

Therefore, the GCF of Fractions 79/536,140/306,586/169 is 1/13859352

Least Common Multiple of 536,306,169 with GCF Formula

Least Common Multiple of 536,306,169 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 536,306,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,306,169) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(536,306,169) x common factors =1 x 2 = 2

LCM(536,306,169) = ( 536 × 306 × 169 ) / 2

LCM(536,306,169) = 27718704 / 2

LCM(536,306,169) = 13859352


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 79/536, 140/306, 586/169

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 79/536, 140/306, 586/169?

Answer: GCF of Numerators as per given numbers 79/536, 140/306, 586/169 is

GCF of Numerators i.e. for 79,140,586 is 1

LCM of denominators i.e. for 536,306,169 is 13859352.

Thus, GCF of Fractions is 1/13859352.Finally, GCF of Fractions for 79/536, 140/306, 586/169 is 1/13859352.