Greatest Common Factor of 221/925, 789/276, 882/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/925, 789/276, 882/743

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 221/925,789/276,882/743

Given fractions are 221/925,789/276,882/743

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 221,789,882

Greatest Common Factor of Numerators i.e. GCF of 221,789,882 is 1 .

LCM of Denominators means LCM of 925,276,743 as per the given fractions.

LCM of 925,276,743 is 189687900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,789,882

GCF of Fractions 221/925,789/276,882/743 is 1/189687900

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

Greatest Common Factor of 221,789,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,789,882 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 221,789,882 . The biggest common factor number is the GCF number.
So the greatest common factor 221,789,882 is 1.

Lets's calculate LCM of 925,276,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 189687900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189687900

Therefore, the GCF of Fractions 221/925,789/276,882/743 is 1/189687900

Least Common Multiple of 925,276,743 with GCF Formula

Least Common Multiple of 925,276,743 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 925,276,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,276,743) = 1

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

GCF(925,276,743) x common factors =1 x 1 = 1

LCM(925,276,743) = ( 925 × 276 × 743 ) / 1

LCM(925,276,743) = 189687900 / 1

LCM(925,276,743) = 189687900


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 221/925, 789/276, 882/743

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 221/925, 789/276, 882/743?

Answer: GCF of Numerators as per given numbers 221/925, 789/276, 882/743 is

GCF of Numerators i.e. for 221,789,882 is 1

LCM of denominators i.e. for 925,276,743 is 189687900.

Thus, GCF of Fractions is 1/189687900.Finally, GCF of Fractions for 221/925, 789/276, 882/743 is 1/189687900.