Greatest Common Factor of 1144/994, 7627/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1144/994, 7627/674

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 1144/994,7627/674

Given fractions are 1144/994,7627/674

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 1144,7627

Greatest Common Factor of Numerators i.e. GCF of 1144,7627 is 1 .

LCM of Denominators means LCM of 994,674 as per the given fractions.

LCM of 994,674 is 334978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1144,7627

GCF of Fractions 1144/994,7627/674 is 1/334978

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

Greatest Common Factor of 1144,7627 By Matching Biggest Common Factor Method

Greatest Common Factor of 1144,7627 By Matching Biggest Common Factor Method

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1,29,263,7627

Greatest Common Factor

We found the factors 1144,7627 . The biggest common factor number is the GCF number.
So the greatest common factor 1144,7627 is 1.

Lets's calculate LCM of 994,674

2 994, 674
497, 337

∴ So the LCM of the given numbers is 2 x 497 x 337 = 334978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334978

Therefore, the GCF of Fractions 1144/994,7627/674 is 1/334978

Least Common Multiple of 994,674 with GCF Formula

Least Common Multiple of 994,674 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 994,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,674) = 2

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

GCF(994,674) x common factors =2 x 1 = 2

LCM(994,674) = ( 994 × 674 ) / 2

LCM(994,674) = 669956 / 2

LCM(994,674) = 334978


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 1144/994, 7627/674

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 1144/994, 7627/674?

Answer: GCF of Numerators as per given numbers 1144/994, 7627/674 is

GCF of Numerators i.e. for 1144,7627 is 1

LCM of denominators i.e. for 994,674 is 334978.

Thus, GCF of Fractions is 1/334978.Finally, GCF of Fractions for 1144/994, 7627/674 is 1/334978.