Greatest Common Factor of 1404/946, 2757/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1404/946, 2757/114

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 1404/946,2757/114

Given fractions are 1404/946,2757/114

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 1404,2757

Greatest Common Factor of Numerators i.e. GCF of 1404,2757 is 3 .

LCM of Denominators means LCM of 946,114 as per the given fractions.

LCM of 946,114 is 53922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1404,2757

GCF of Fractions 1404/946,2757/114 is 3/53922

3 1404, 2757
468, 919

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1404,2757 By Matching Biggest Common Factor Method

Greatest Common Factor of 1404,2757 By Matching Biggest Common Factor Method

Factors of 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404

Factors of 2757

List of positive integer factors of 2757 that divides 2757 without a remainder.

1,3,919,2757

Greatest Common Factor

We found the factors 1404,2757 . The biggest common factor number is the GCF number.
So the greatest common factor 1404,2757 is 3.

Lets's calculate LCM of 946,114

2 946, 114
473, 57

∴ So the LCM of the given numbers is 2 x 473 x 57 = 53922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53922

Therefore, the GCF of Fractions 1404/946,2757/114 is 3/53922

Least Common Multiple of 946,114 with GCF Formula

Least Common Multiple of 946,114 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 946,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,114) = 2

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

GCF(946,114) x common factors =2 x 1 = 2

LCM(946,114) = ( 946 × 114 ) / 2

LCM(946,114) = 107844 / 2

LCM(946,114) = 53922


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 1404/946, 2757/114

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 1404/946, 2757/114?

Answer: GCF of Numerators as per given numbers 1404/946, 2757/114 is

GCF of Numerators i.e. for 1404,2757 is 3

LCM of denominators i.e. for 946,114 is 53922.

Thus, GCF of Fractions is 3/53922.Finally, GCF of Fractions for 1404/946, 2757/114 is 3/53922.