Greatest Common Factor of 808/856, 604/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 808/856, 604/421

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 808/856,604/421

Given fractions are 808/856,604/421

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 808,604

Greatest Common Factor of Numerators i.e. GCF of 808,604 is 4 .

LCM of Denominators means LCM of 856,421 as per the given fractions.

LCM of 856,421 is 360376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,604

GCF of Fractions 808/856,604/421 is 4/360376

2 808, 604
2 404, 302
202, 151

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

Greatest Common Factor of 808,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,604 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 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 808,604 . The biggest common factor number is the GCF number.
So the greatest common factor 808,604 is 4.

Lets's calculate LCM of 856,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 360376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/360376

Therefore, the GCF of Fractions 808/856,604/421 is 4/360376

Least Common Multiple of 856,421 with GCF Formula

Least Common Multiple of 856,421 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 856,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,421) = 1

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

GCF(856,421) x common factors =1 x 1 = 1

LCM(856,421) = ( 856 × 421 ) / 1

LCM(856,421) = 360376 / 1

LCM(856,421) = 360376


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 808/856, 604/421

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 808/856, 604/421?

Answer: GCF of Numerators as per given numbers 808/856, 604/421 is

GCF of Numerators i.e. for 808,604 is 4

LCM of denominators i.e. for 856,421 is 360376.

Thus, GCF of Fractions is 4/360376.Finally, GCF of Fractions for 808/856, 604/421 is 4/360376.