Greatest Common Factor of 744/63, 828/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 744/63, 828/634

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 744/63,828/634

Given fractions are 744/63,828/634

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 744,828

Greatest Common Factor of Numerators i.e. GCF of 744,828 is 12 .

LCM of Denominators means LCM of 63,634 as per the given fractions.

LCM of 63,634 is 39942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 744,828

GCF of Fractions 744/63,828/634 is 12/39942

2 744, 828
2 372, 414
3 186, 207
62, 69

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 744,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,828 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 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 744,828 . The biggest common factor number is the GCF number.
So the greatest common factor 744,828 is 12.

Lets's calculate LCM of 63,634

Given numbers has no common factors except 1. So, there LCM is their product i.e 39942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/39942

Therefore, the GCF of Fractions 744/63,828/634 is 12/39942

Least Common Multiple of 63,634 with GCF Formula

Least Common Multiple of 63,634 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 63,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,634) = 1

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

GCF(63,634) x common factors =1 x 1 = 1

LCM(63,634) = ( 63 × 634 ) / 1

LCM(63,634) = 39942 / 1

LCM(63,634) = 39942


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 744/63, 828/634

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 744/63, 828/634?

Answer: GCF of Numerators as per given numbers 744/63, 828/634 is

GCF of Numerators i.e. for 744,828 is 12

LCM of denominators i.e. for 63,634 is 39942.

Thus, GCF of Fractions is 12/39942.Finally, GCF of Fractions for 744/63, 828/634 is 12/39942.