Greatest Common Factor of 2651/46, 2761/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2651/46, 2761/946

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 2651/46,2761/946

Given fractions are 2651/46,2761/946

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 2651,2761

Greatest Common Factor of Numerators i.e. GCF of 2651,2761 is 11 .

LCM of Denominators means LCM of 46,946 as per the given fractions.

LCM of 46,946 is 21758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2651,2761

GCF of Fractions 2651/46,2761/946 is 11/21758

11 2651, 2761
241, 251

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2651,2761 By Matching Biggest Common Factor Method

Greatest Common Factor of 2651,2761 By Matching Biggest Common Factor Method

Factors of 2651

List of positive integer factors of 2651 that divides 2651 without a remainder.

1,11,241,2651

Factors of 2761

List of positive integer factors of 2761 that divides 2761 without a remainder.

1,11,251,2761

Greatest Common Factor

We found the factors 2651,2761 . The biggest common factor number is the GCF number.
So the greatest common factor 2651,2761 is 11.

Lets's calculate LCM of 46,946

2 46, 946
23, 473

∴ So the LCM of the given numbers is 2 x 23 x 473 = 21758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/21758

Therefore, the GCF of Fractions 2651/46,2761/946 is 11/21758

Least Common Multiple of 46,946 with GCF Formula

Least Common Multiple of 46,946 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 46,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,946) = 2

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

GCF(46,946) x common factors =2 x 1 = 2

LCM(46,946) = ( 46 × 946 ) / 2

LCM(46,946) = 43516 / 2

LCM(46,946) = 21758


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 2651/46, 2761/946

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 2651/46, 2761/946?

Answer: GCF of Numerators as per given numbers 2651/46, 2761/946 is

GCF of Numerators i.e. for 2651,2761 is 11

LCM of denominators i.e. for 46,946 is 21758.

Thus, GCF of Fractions is 11/21758.Finally, GCF of Fractions for 2651/46, 2761/946 is 11/21758.