Greatest Common Factor of 59/10, 659/49, 686/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/10, 659/49, 686/156

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 59/10,659/49,686/156

Given fractions are 59/10,659/49,686/156

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 59,659,686

Greatest Common Factor of Numerators i.e. GCF of 59,659,686 is 1 .

LCM of Denominators means LCM of 10,49,156 as per the given fractions.

LCM of 10,49,156 is 38220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,659,686

GCF of Fractions 59/10,659/49,686/156 is 1/38220

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

Greatest Common Factor of 59,659,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,659,686 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 59,659,686 . The biggest common factor number is the GCF number.
So the greatest common factor 59,659,686 is 1.

Lets's calculate LCM of 10,49,156

2 10, 49, 156
5, 49, 78

∴ So the LCM of the given numbers is 2 x 5 x 49 x 78 = 38220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38220

Therefore, the GCF of Fractions 59/10,659/49,686/156 is 1/38220

Least Common Multiple of 10,49,156 with GCF Formula

Least Common Multiple of 10,49,156 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 10,49,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,49,156) = 1

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

GCF(10,49,156) x common factors =1 x 2 = 2

LCM(10,49,156) = ( 10 × 49 × 156 ) / 2

LCM(10,49,156) = 76440 / 2

LCM(10,49,156) = 38220


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 59/10, 659/49, 686/156

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 59/10, 659/49, 686/156?

Answer: GCF of Numerators as per given numbers 59/10, 659/49, 686/156 is

GCF of Numerators i.e. for 59,659,686 is 1

LCM of denominators i.e. for 10,49,156 is 38220.

Thus, GCF of Fractions is 1/38220.Finally, GCF of Fractions for 59/10, 659/49, 686/156 is 1/38220.