Greatest Common Factor of 556/21, 8225/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 556/21, 8225/680

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 556/21,8225/680

Given fractions are 556/21,8225/680

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 556,8225

Greatest Common Factor of Numerators i.e. GCF of 556,8225 is 1 .

LCM of Denominators means LCM of 21,680 as per the given fractions.

LCM of 21,680 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 556,8225

GCF of Fractions 556/21,8225/680 is 1/14280

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

Greatest Common Factor of 556,8225 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,8225 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Greatest Common Factor

We found the factors 556,8225 . The biggest common factor number is the GCF number.
So the greatest common factor 556,8225 is 1.

Lets's calculate LCM of 21,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14280

Therefore, the GCF of Fractions 556/21,8225/680 is 1/14280

Least Common Multiple of 21,680 with GCF Formula

Least Common Multiple of 21,680 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 21,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,680) = 1

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

GCF(21,680) x common factors =1 x 1 = 1

LCM(21,680) = ( 21 × 680 ) / 1

LCM(21,680) = 14280 / 1

LCM(21,680) = 14280


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 556/21, 8225/680

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 556/21, 8225/680?

Answer: GCF of Numerators as per given numbers 556/21, 8225/680 is

GCF of Numerators i.e. for 556,8225 is 1

LCM of denominators i.e. for 21,680 is 14280.

Thus, GCF of Fractions is 1/14280.Finally, GCF of Fractions for 556/21, 8225/680 is 1/14280.