Greatest Common Factor of 2/56, 122/59, 739/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/56, 122/59, 739/84

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 2/56,122/59,739/84

Given fractions are 2/56,122/59,739/84

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 2,122,739

Greatest Common Factor of Numerators i.e. GCF of 2,122,739 is 1 .

LCM of Denominators means LCM of 56,59,84 as per the given fractions.

LCM of 56,59,84 is 9912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,122,739

GCF of Fractions 2/56,122/59,739/84 is 1/9912

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

Greatest Common Factor of 2,122,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,122,739 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 2,122,739 . The biggest common factor number is the GCF number.
So the greatest common factor 2,122,739 is 1.

Lets's calculate LCM of 56,59,84

2 56, 59, 84
2 28, 59, 42
7 14, 59, 21
2, 59, 3

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 59 x 3 = 9912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9912

Therefore, the GCF of Fractions 2/56,122/59,739/84 is 1/9912

Least Common Multiple of 56,59,84 with GCF Formula

Least Common Multiple of 56,59,84 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 56,59,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,59,84) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,59,84) x common factors =1 x 28 = 28

LCM(56,59,84) = ( 56 × 59 × 84 ) / 28

LCM(56,59,84) = 277536 / 28

LCM(56,59,84) = 9912


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 2/56, 122/59, 739/84

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 2/56, 122/59, 739/84?

Answer: GCF of Numerators as per given numbers 2/56, 122/59, 739/84 is

GCF of Numerators i.e. for 2,122,739 is 1

LCM of denominators i.e. for 56,59,84 is 9912.

Thus, GCF of Fractions is 1/9912.Finally, GCF of Fractions for 2/56, 122/59, 739/84 is 1/9912.