Greatest Common Factor of 918/2138, 374/2374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 918/2138, 374/2374

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 918/2138,374/2374

Given fractions are 918/2138,374/2374

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 918,374

Greatest Common Factor of Numerators i.e. GCF of 918,374 is 34 .

LCM of Denominators means LCM of 2138,2374 as per the given fractions.

LCM of 2138,2374 is 2537806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 918,374

GCF of Fractions 918/2138,374/2374 is 34/2537806

2 918, 374
17 459, 187
27, 11

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 918,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,374 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 918,374 . The biggest common factor number is the GCF number.
So the greatest common factor 918,374 is 34.

Lets's calculate LCM of 2138,2374

2 2138, 2374
1069, 1187

∴ So the LCM of the given numbers is 2 x 1069 x 1187 = 2537806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/2537806

Therefore, the GCF of Fractions 918/2138,374/2374 is 34/2537806

Least Common Multiple of 2138,2374 with GCF Formula

Least Common Multiple of 2138,2374 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 2138,2374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2138,2374) = 2

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

GCF(2138,2374) x common factors =2 x 1 = 2

LCM(2138,2374) = ( 2138 × 2374 ) / 2

LCM(2138,2374) = 5075612 / 2

LCM(2138,2374) = 2537806


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 918/2138, 374/2374

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 918/2138, 374/2374?

Answer: GCF of Numerators as per given numbers 918/2138, 374/2374 is

GCF of Numerators i.e. for 918,374 is 34

LCM of denominators i.e. for 2138,2374 is 2537806.

Thus, GCF of Fractions is 34/2537806.Finally, GCF of Fractions for 918/2138, 374/2374 is 34/2537806.