Greatest Common Factor of 8459/49, 3756/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8459/49, 3756/638

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 8459/49,3756/638

Given fractions are 8459/49,3756/638

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 8459,3756

Greatest Common Factor of Numerators i.e. GCF of 8459,3756 is 1 .

LCM of Denominators means LCM of 49,638 as per the given fractions.

LCM of 49,638 is 31262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8459,3756

GCF of Fractions 8459/49,3756/638 is 1/31262

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

Greatest Common Factor of 8459,3756 By Matching Biggest Common Factor Method

Greatest Common Factor of 8459,3756 By Matching Biggest Common Factor Method

Factors of 8459

List of positive integer factors of 8459 that divides 8459 without a remainder.

1,11,769,8459

Factors of 3756

List of positive integer factors of 3756 that divides 3756 without a remainder.

1,2,3,4,6,12,313,626,939,1252,1878,3756

Greatest Common Factor

We found the factors 8459,3756 . The biggest common factor number is the GCF number.
So the greatest common factor 8459,3756 is 1.

Lets's calculate LCM of 49,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 31262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31262

Therefore, the GCF of Fractions 8459/49,3756/638 is 1/31262

Least Common Multiple of 49,638 with GCF Formula

Least Common Multiple of 49,638 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 49,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,638) = 1

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

GCF(49,638) x common factors =1 x 1 = 1

LCM(49,638) = ( 49 × 638 ) / 1

LCM(49,638) = 31262 / 1

LCM(49,638) = 31262


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 8459/49, 3756/638

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 8459/49, 3756/638?

Answer: GCF of Numerators as per given numbers 8459/49, 3756/638 is

GCF of Numerators i.e. for 8459,3756 is 1

LCM of denominators i.e. for 49,638 is 31262.

Thus, GCF of Fractions is 1/31262.Finally, GCF of Fractions for 8459/49, 3756/638 is 1/31262.