Greatest Common Factor of 7638/634, 6367/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7638/634, 6367/671

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 7638/634,6367/671

Given fractions are 7638/634,6367/671

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 7638,6367

Greatest Common Factor of Numerators i.e. GCF of 7638,6367 is 1 .

LCM of Denominators means LCM of 634,671 as per the given fractions.

LCM of 634,671 is 425414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7638,6367

GCF of Fractions 7638/634,6367/671 is 1/425414

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

Greatest Common Factor of 7638,6367 By Matching Biggest Common Factor Method

Greatest Common Factor of 7638,6367 By Matching Biggest Common Factor Method

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638

Factors of 6367

List of positive integer factors of 6367 that divides 6367 without a remainder.

1,6367

Greatest Common Factor

We found the factors 7638,6367 . The biggest common factor number is the GCF number.
So the greatest common factor 7638,6367 is 1.

Lets's calculate LCM of 634,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 425414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425414

Therefore, the GCF of Fractions 7638/634,6367/671 is 1/425414

Least Common Multiple of 634,671 with GCF Formula

Least Common Multiple of 634,671 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 634,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,671) = 1

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

GCF(634,671) x common factors =1 x 1 = 1

LCM(634,671) = ( 634 × 671 ) / 1

LCM(634,671) = 425414 / 1

LCM(634,671) = 425414


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 7638/634, 6367/671

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 7638/634, 6367/671?

Answer: GCF of Numerators as per given numbers 7638/634, 6367/671 is

GCF of Numerators i.e. for 7638,6367 is 1

LCM of denominators i.e. for 634,671 is 425414.

Thus, GCF of Fractions is 1/425414.Finally, GCF of Fractions for 7638/634, 6367/671 is 1/425414.