Greatest Common Factor of 808/658, 7366/5564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 808/658, 7366/5564

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 808/658,7366/5564

Given fractions are 808/658,7366/5564

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 808,7366

Greatest Common Factor of Numerators i.e. GCF of 808,7366 is 2 .

LCM of Denominators means LCM of 658,5564 as per the given fractions.

LCM of 658,5564 is 1830556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,7366

GCF of Fractions 808/658,7366/5564 is 2/1830556

2 808, 7366
404, 3683

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

Greatest Common Factor of 808,7366 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,7366 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1,2,29,58,127,254,3683,7366

Greatest Common Factor

We found the factors 808,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 808,7366 is 2.

Lets's calculate LCM of 658,5564

2 658, 5564
329, 2782

∴ So the LCM of the given numbers is 2 x 329 x 2782 = 1830556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1830556

Therefore, the GCF of Fractions 808/658,7366/5564 is 2/1830556

Least Common Multiple of 658,5564 with GCF Formula

Least Common Multiple of 658,5564 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 658,5564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,5564) = 2

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

GCF(658,5564) x common factors =2 x 1 = 2

LCM(658,5564) = ( 658 × 5564 ) / 2

LCM(658,5564) = 3661112 / 2

LCM(658,5564) = 1830556


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 808/658, 7366/5564

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 808/658, 7366/5564?

Answer: GCF of Numerators as per given numbers 808/658, 7366/5564 is

GCF of Numerators i.e. for 808,7366 is 2

LCM of denominators i.e. for 658,5564 is 1830556.

Thus, GCF of Fractions is 2/1830556.Finally, GCF of Fractions for 808/658, 7366/5564 is 2/1830556.