Greatest Common Factor of 5161/518, 2057/4711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5161/518, 2057/4711

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 5161/518,2057/4711

Given fractions are 5161/518,2057/4711

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 5161,2057

Greatest Common Factor of Numerators i.e. GCF of 5161,2057 is 1 .

LCM of Denominators means LCM of 518,4711 as per the given fractions.

LCM of 518,4711 is 348614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5161,2057

GCF of Fractions 5161/518,2057/4711 is 1/348614

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

Greatest Common Factor of 5161,2057 By Matching Biggest Common Factor Method

Greatest Common Factor of 5161,2057 By Matching Biggest Common Factor Method

Factors of 5161

List of positive integer factors of 5161 that divides 5161 without a remainder.

1,13,397,5161

Factors of 2057

List of positive integer factors of 2057 that divides 2057 without a remainder.

1,11,17,121,187,2057

Greatest Common Factor

We found the factors 5161,2057 . The biggest common factor number is the GCF number.
So the greatest common factor 5161,2057 is 1.

Lets's calculate LCM of 518,4711

7 518, 4711
74, 673

∴ So the LCM of the given numbers is 7 x 74 x 673 = 348614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348614

Therefore, the GCF of Fractions 5161/518,2057/4711 is 1/348614

Least Common Multiple of 518,4711 with GCF Formula

Least Common Multiple of 518,4711 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 518,4711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,4711) = 7

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

GCF(518,4711) x common factors =7 x 1 = 7

LCM(518,4711) = ( 518 × 4711 ) / 7

LCM(518,4711) = 2440298 / 7

LCM(518,4711) = 348614


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 5161/518, 2057/4711

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 5161/518, 2057/4711?

Answer: GCF of Numerators as per given numbers 5161/518, 2057/4711 is

GCF of Numerators i.e. for 5161,2057 is 1

LCM of denominators i.e. for 518,4711 is 348614.

Thus, GCF of Fractions is 1/348614.Finally, GCF of Fractions for 5161/518, 2057/4711 is 1/348614.