Greatest Common Factor of 1148/426, 3737/1116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1148/426, 3737/1116

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 1148/426,3737/1116

Given fractions are 1148/426,3737/1116

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 1148,3737

Greatest Common Factor of Numerators i.e. GCF of 1148,3737 is 1 .

LCM of Denominators means LCM of 426,1116 as per the given fractions.

LCM of 426,1116 is 79236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1148,3737

GCF of Fractions 1148/426,3737/1116 is 1/79236

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

Greatest Common Factor of 1148,3737 By Matching Biggest Common Factor Method

Greatest Common Factor of 1148,3737 By Matching Biggest Common Factor Method

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1,2,4,7,14,28,41,82,164,287,574,1148

Factors of 3737

List of positive integer factors of 3737 that divides 3737 without a remainder.

1,37,101,3737

Greatest Common Factor

We found the factors 1148,3737 . The biggest common factor number is the GCF number.
So the greatest common factor 1148,3737 is 1.

Lets's calculate LCM of 426,1116

2 426, 1116
3 213, 558
71, 186

∴ So the LCM of the given numbers is 2 x 3 x 71 x 186 = 79236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79236

Therefore, the GCF of Fractions 1148/426,3737/1116 is 1/79236

Least Common Multiple of 426,1116 with GCF Formula

Least Common Multiple of 426,1116 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 426,1116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,1116) = 6

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

GCF(426,1116) x common factors =6 x 1 = 6

LCM(426,1116) = ( 426 × 1116 ) / 6

LCM(426,1116) = 475416 / 6

LCM(426,1116) = 79236


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 1148/426, 3737/1116

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 1148/426, 3737/1116?

Answer: GCF of Numerators as per given numbers 1148/426, 3737/1116 is

GCF of Numerators i.e. for 1148,3737 is 1

LCM of denominators i.e. for 426,1116 is 79236.

Thus, GCF of Fractions is 1/79236.Finally, GCF of Fractions for 1148/426, 3737/1116 is 1/79236.