Greatest Common Factor of 8251/494, 2620/6254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8251/494, 2620/6254

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 8251/494,2620/6254

Given fractions are 8251/494,2620/6254

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 8251,2620

Greatest Common Factor of Numerators i.e. GCF of 8251,2620 is 1 .

LCM of Denominators means LCM of 494,6254 as per the given fractions.

LCM of 494,6254 is 1544738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8251,2620

GCF of Fractions 8251/494,2620/6254 is 1/1544738

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

Greatest Common Factor of 8251,2620 By Matching Biggest Common Factor Method

Greatest Common Factor of 8251,2620 By Matching Biggest Common Factor Method

Factors of 8251

List of positive integer factors of 8251 that divides 8251 without a remainder.

1,37,223,8251

Factors of 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1,2,4,5,10,20,131,262,524,655,1310,2620

Greatest Common Factor

We found the factors 8251,2620 . The biggest common factor number is the GCF number.
So the greatest common factor 8251,2620 is 1.

Lets's calculate LCM of 494,6254

2 494, 6254
247, 3127

∴ So the LCM of the given numbers is 2 x 247 x 3127 = 1544738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1544738

Therefore, the GCF of Fractions 8251/494,2620/6254 is 1/1544738

Least Common Multiple of 494,6254 with GCF Formula

Least Common Multiple of 494,6254 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 494,6254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,6254) = 2

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

GCF(494,6254) x common factors =2 x 1 = 2

LCM(494,6254) = ( 494 × 6254 ) / 2

LCM(494,6254) = 3089476 / 2

LCM(494,6254) = 1544738


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 8251/494, 2620/6254

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 8251/494, 2620/6254?

Answer: GCF of Numerators as per given numbers 8251/494, 2620/6254 is

GCF of Numerators i.e. for 8251,2620 is 1

LCM of denominators i.e. for 494,6254 is 1544738.

Thus, GCF of Fractions is 1/1544738.Finally, GCF of Fractions for 8251/494, 2620/6254 is 1/1544738.