Greatest Common Factor of 8430/638, 3251/3894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8430/638, 3251/3894

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 8430/638,3251/3894

Given fractions are 8430/638,3251/3894

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 8430,3251

Greatest Common Factor of Numerators i.e. GCF of 8430,3251 is 1 .

LCM of Denominators means LCM of 638,3894 as per the given fractions.

LCM of 638,3894 is 112926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8430,3251

GCF of Fractions 8430/638,3251/3894 is 1/112926

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

Greatest Common Factor of 8430,3251 By Matching Biggest Common Factor Method

Greatest Common Factor of 8430,3251 By Matching Biggest Common Factor Method

Factors of 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430

Factors of 3251

List of positive integer factors of 3251 that divides 3251 without a remainder.

1,3251

Greatest Common Factor

We found the factors 8430,3251 . The biggest common factor number is the GCF number.
So the greatest common factor 8430,3251 is 1.

Lets's calculate LCM of 638,3894

2 638, 3894
11 319, 1947
29, 177

∴ So the LCM of the given numbers is 2 x 11 x 29 x 177 = 112926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112926

Therefore, the GCF of Fractions 8430/638,3251/3894 is 1/112926

Least Common Multiple of 638,3894 with GCF Formula

Least Common Multiple of 638,3894 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 638,3894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,3894) = 22

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

GCF(638,3894) x common factors =22 x 1 = 22

LCM(638,3894) = ( 638 × 3894 ) / 22

LCM(638,3894) = 2484372 / 22

LCM(638,3894) = 112926


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 8430/638, 3251/3894

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 8430/638, 3251/3894?

Answer: GCF of Numerators as per given numbers 8430/638, 3251/3894 is

GCF of Numerators i.e. for 8430,3251 is 1

LCM of denominators i.e. for 638,3894 is 112926.

Thus, GCF of Fractions is 1/112926.Finally, GCF of Fractions for 8430/638, 3251/3894 is 1/112926.