Greatest Common Factor of 14/61, 36/31, 542/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/61, 36/31, 542/860

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 14/61,36/31,542/860

Given fractions are 14/61,36/31,542/860

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 14,36,542

Greatest Common Factor of Numerators i.e. GCF of 14,36,542 is 2 .

LCM of Denominators means LCM of 61,31,860 as per the given fractions.

LCM of 61,31,860 is 1626260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,36,542

GCF of Fractions 14/61,36/31,542/860 is 2/1626260

2 14, 36, 542
7, 18, 271

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 14,36,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,36,542 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 14,36,542 . The biggest common factor number is the GCF number.
So the greatest common factor 14,36,542 is 2.

Lets's calculate LCM of 61,31,860

Given numbers has no common factors except 1. So, there LCM is their product i.e 1626260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1626260

Therefore, the GCF of Fractions 14/61,36/31,542/860 is 2/1626260

Least Common Multiple of 61,31,860 with GCF Formula

Least Common Multiple of 61,31,860 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 61,31,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,31,860) = 1

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

GCF(61,31,860) x common factors =1 x 1 = 1

LCM(61,31,860) = ( 61 × 31 × 860 ) / 1

LCM(61,31,860) = 1626260 / 1

LCM(61,31,860) = 1626260


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 14/61, 36/31, 542/860

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 14/61, 36/31, 542/860?

Answer: GCF of Numerators as per given numbers 14/61, 36/31, 542/860 is

GCF of Numerators i.e. for 14,36,542 is 2

LCM of denominators i.e. for 61,31,860 is 1626260.

Thus, GCF of Fractions is 2/1626260.Finally, GCF of Fractions for 14/61, 36/31, 542/860 is 2/1626260.