Greatest Common Factor of 744/762, 638/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/762, 638/927

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 744/762,638/927

Given fractions are 744/762,638/927

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 744,638

Greatest Common Factor of Numerators i.e. GCF of 744,638 is 2 .

LCM of Denominators means LCM of 762,927 as per the given fractions.

LCM of 762,927 is 235458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,638

GCF of Fractions 744/762,638/927 is 2/235458

2 744, 638
372, 319

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 744,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,638 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 744,638 . The biggest common factor number is the GCF number.
So the greatest common factor 744,638 is 2.

Lets's calculate LCM of 762,927

3 762, 927
254, 309

∴ So the LCM of the given numbers is 3 x 254 x 309 = 235458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/235458

Therefore, the GCF of Fractions 744/762,638/927 is 2/235458

Least Common Multiple of 762,927 with GCF Formula

Least Common Multiple of 762,927 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 762,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,927) = 3

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

GCF(762,927) x common factors =3 x 1 = 3

LCM(762,927) = ( 762 × 927 ) / 3

LCM(762,927) = 706374 / 3

LCM(762,927) = 235458


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 744/762, 638/927

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 744/762, 638/927?

Answer: GCF of Numerators as per given numbers 744/762, 638/927 is

GCF of Numerators i.e. for 744,638 is 2

LCM of denominators i.e. for 762,927 is 235458.

Thus, GCF of Fractions is 2/235458.Finally, GCF of Fractions for 744/762, 638/927 is 2/235458.