Greatest Common Factor of 2117/177, 5142/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2117/177, 5142/621

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 2117/177,5142/621

Given fractions are 2117/177,5142/621

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 2117,5142

Greatest Common Factor of Numerators i.e. GCF of 2117,5142 is 1 .

LCM of Denominators means LCM of 177,621 as per the given fractions.

LCM of 177,621 is 36639 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2117,5142

GCF of Fractions 2117/177,5142/621 is 1/36639

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

Greatest Common Factor of 2117,5142 By Matching Biggest Common Factor Method

Greatest Common Factor of 2117,5142 By Matching Biggest Common Factor Method

Factors of 2117

List of positive integer factors of 2117 that divides 2117 without a remainder.

1,29,73,2117

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1,2,3,6,857,1714,2571,5142

Greatest Common Factor

We found the factors 2117,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 2117,5142 is 1.

Lets's calculate LCM of 177,621

3 177, 621
59, 207

∴ So the LCM of the given numbers is 3 x 59 x 207 = 36639

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36639

Therefore, the GCF of Fractions 2117/177,5142/621 is 1/36639

Least Common Multiple of 177,621 with GCF Formula

Least Common Multiple of 177,621 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 177,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,621) = 3

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

GCF(177,621) x common factors =3 x 1 = 3

LCM(177,621) = ( 177 × 621 ) / 3

LCM(177,621) = 109917 / 3

LCM(177,621) = 36639


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 2117/177, 5142/621

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 2117/177, 5142/621?

Answer: GCF of Numerators as per given numbers 2117/177, 5142/621 is

GCF of Numerators i.e. for 2117,5142 is 1

LCM of denominators i.e. for 177,621 is 36639.

Thus, GCF of Fractions is 1/36639.Finally, GCF of Fractions for 2117/177, 5142/621 is 1/36639.