Greatest Common Factor of 8410/642, 5264/6062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8410/642, 5264/6062

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 8410/642,5264/6062

Given fractions are 8410/642,5264/6062

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 8410,5264

Greatest Common Factor of Numerators i.e. GCF of 8410,5264 is 2 .

LCM of Denominators means LCM of 642,6062 as per the given fractions.

LCM of 642,6062 is 1945902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8410,5264

GCF of Fractions 8410/642,5264/6062 is 2/1945902

2 8410, 5264
4205, 2632

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

Greatest Common Factor of 8410,5264 By Matching Biggest Common Factor Method

Greatest Common Factor of 8410,5264 By Matching Biggest Common Factor Method

Factors of 8410

List of positive integer factors of 8410 that divides 8410 without a remainder.

1,2,5,10,29,58,145,290,841,1682,4205,8410

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264

Greatest Common Factor

We found the factors 8410,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 8410,5264 is 2.

Lets's calculate LCM of 642,6062

2 642, 6062
321, 3031

∴ So the LCM of the given numbers is 2 x 321 x 3031 = 1945902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1945902

Therefore, the GCF of Fractions 8410/642,5264/6062 is 2/1945902

Least Common Multiple of 642,6062 with GCF Formula

Least Common Multiple of 642,6062 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 642,6062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,6062) = 2

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

GCF(642,6062) x common factors =2 x 1 = 2

LCM(642,6062) = ( 642 × 6062 ) / 2

LCM(642,6062) = 3891804 / 2

LCM(642,6062) = 1945902


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 8410/642, 5264/6062

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 8410/642, 5264/6062?

Answer: GCF of Numerators as per given numbers 8410/642, 5264/6062 is

GCF of Numerators i.e. for 8410,5264 is 2

LCM of denominators i.e. for 642,6062 is 1945902.

Thus, GCF of Fractions is 2/1945902.Finally, GCF of Fractions for 8410/642, 5264/6062 is 2/1945902.