Greatest Common Factor of 40/862, 6836/6562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/862, 6836/6562

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 40/862,6836/6562

Given fractions are 40/862,6836/6562

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 40,6836

Greatest Common Factor of Numerators i.e. GCF of 40,6836 is 4 .

LCM of Denominators means LCM of 862,6562 as per the given fractions.

LCM of 862,6562 is 2828222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,6836

GCF of Fractions 40/862,6836/6562 is 4/2828222

2 40, 6836
2 20, 3418
10, 1709

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 40,6836 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,6836 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1,2,4,1709,3418,6836

Greatest Common Factor

We found the factors 40,6836 . The biggest common factor number is the GCF number.
So the greatest common factor 40,6836 is 4.

Lets's calculate LCM of 862,6562

2 862, 6562
431, 3281

∴ So the LCM of the given numbers is 2 x 431 x 3281 = 2828222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2828222

Therefore, the GCF of Fractions 40/862,6836/6562 is 4/2828222

Least Common Multiple of 862,6562 with GCF Formula

Least Common Multiple of 862,6562 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 862,6562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,6562) = 2

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

GCF(862,6562) x common factors =2 x 1 = 2

LCM(862,6562) = ( 862 × 6562 ) / 2

LCM(862,6562) = 5656444 / 2

LCM(862,6562) = 2828222


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 40/862, 6836/6562

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 40/862, 6836/6562?

Answer: GCF of Numerators as per given numbers 40/862, 6836/6562 is

GCF of Numerators i.e. for 40,6836 is 4

LCM of denominators i.e. for 862,6562 is 2828222.

Thus, GCF of Fractions is 4/2828222.Finally, GCF of Fractions for 40/862, 6836/6562 is 4/2828222.