Greatest Common Factor of 634/3754, 390/8723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/3754, 390/8723

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 634/3754,390/8723

Given fractions are 634/3754,390/8723

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 634,390

Greatest Common Factor of Numerators i.e. GCF of 634,390 is 2 .

LCM of Denominators means LCM of 3754,8723 as per the given fractions.

LCM of 3754,8723 is 32746142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,390

GCF of Fractions 634/3754,390/8723 is 2/32746142

2 634, 390
317, 195

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

Greatest Common Factor of 634,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,390 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 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 634,390 . The biggest common factor number is the GCF number.
So the greatest common factor 634,390 is 2.

Lets's calculate LCM of 3754,8723

Given numbers has no common factors except 1. So, there LCM is their product i.e 32746142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32746142

Therefore, the GCF of Fractions 634/3754,390/8723 is 2/32746142

Least Common Multiple of 3754,8723 with GCF Formula

Least Common Multiple of 3754,8723 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 3754,8723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3754,8723) = 1

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

GCF(3754,8723) x common factors =1 x 1 = 1

LCM(3754,8723) = ( 3754 × 8723 ) / 1

LCM(3754,8723) = 32746142 / 1

LCM(3754,8723) = 32746142


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 634/3754, 390/8723

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 634/3754, 390/8723?

Answer: GCF of Numerators as per given numbers 634/3754, 390/8723 is

GCF of Numerators i.e. for 634,390 is 2

LCM of denominators i.e. for 3754,8723 is 32746142.

Thus, GCF of Fractions is 2/32746142.Finally, GCF of Fractions for 634/3754, 390/8723 is 2/32746142.