Greatest Common Factor of 634/92, 732/8446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/92, 732/8446

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 634/92,732/8446

Given fractions are 634/92,732/8446

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 634,732

Greatest Common Factor of Numerators i.e. GCF of 634,732 is 2 .

LCM of Denominators means LCM of 92,8446 as per the given fractions.

LCM of 92,8446 is 388516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,732

GCF of Fractions 634/92,732/8446 is 2/388516

2 634, 732
317, 366

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

Greatest Common Factor of 634,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,732 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 634,732 . The biggest common factor number is the GCF number.
So the greatest common factor 634,732 is 2.

Lets's calculate LCM of 92,8446

2 92, 8446
46, 4223

∴ So the LCM of the given numbers is 2 x 46 x 4223 = 388516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/388516

Therefore, the GCF of Fractions 634/92,732/8446 is 2/388516

Least Common Multiple of 92,8446 with GCF Formula

Least Common Multiple of 92,8446 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 92,8446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,8446) = 2

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

GCF(92,8446) x common factors =2 x 1 = 2

LCM(92,8446) = ( 92 × 8446 ) / 2

LCM(92,8446) = 777032 / 2

LCM(92,8446) = 388516


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 634/92, 732/8446

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 634/92, 732/8446?

Answer: GCF of Numerators as per given numbers 634/92, 732/8446 is

GCF of Numerators i.e. for 634,732 is 2

LCM of denominators i.e. for 92,8446 is 388516.

Thus, GCF of Fractions is 2/388516.Finally, GCF of Fractions for 634/92, 732/8446 is 2/388516.