Greatest Common Factor of 463/44, 1128/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/44, 1128/274

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 463/44,1128/274

Given fractions are 463/44,1128/274

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 463,1128

Greatest Common Factor of Numerators i.e. GCF of 463,1128 is 1 .

LCM of Denominators means LCM of 44,274 as per the given fractions.

LCM of 44,274 is 6028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,1128

GCF of Fractions 463/44,1128/274 is 1/6028

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

Greatest Common Factor of 463,1128 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,1128 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128

Greatest Common Factor

We found the factors 463,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 463,1128 is 1.

Lets's calculate LCM of 44,274

2 44, 274
22, 137

∴ So the LCM of the given numbers is 2 x 22 x 137 = 6028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6028

Therefore, the GCF of Fractions 463/44,1128/274 is 1/6028

Least Common Multiple of 44,274 with GCF Formula

Least Common Multiple of 44,274 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 44,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,274) = 2

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

GCF(44,274) x common factors =2 x 1 = 2

LCM(44,274) = ( 44 × 274 ) / 2

LCM(44,274) = 12056 / 2

LCM(44,274) = 6028


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 463/44, 1128/274

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 463/44, 1128/274?

Answer: GCF of Numerators as per given numbers 463/44, 1128/274 is

GCF of Numerators i.e. for 463,1128 is 1

LCM of denominators i.e. for 44,274 is 6028.

Thus, GCF of Fractions is 1/6028.Finally, GCF of Fractions for 463/44, 1128/274 is 1/6028.