Greatest Common Factor of 858/82, 5273/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 858/82, 5273/224

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 858/82,5273/224

Given fractions are 858/82,5273/224

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 858,5273

Greatest Common Factor of Numerators i.e. GCF of 858,5273 is 1 .

LCM of Denominators means LCM of 82,224 as per the given fractions.

LCM of 82,224 is 9184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 858,5273

GCF of Fractions 858/82,5273/224 is 1/9184

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

Greatest Common Factor of 858,5273 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,5273 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1,5273

Greatest Common Factor

We found the factors 858,5273 . The biggest common factor number is the GCF number.
So the greatest common factor 858,5273 is 1.

Lets's calculate LCM of 82,224

2 82, 224
41, 112

∴ So the LCM of the given numbers is 2 x 41 x 112 = 9184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9184

Therefore, the GCF of Fractions 858/82,5273/224 is 1/9184

Least Common Multiple of 82,224 with GCF Formula

Least Common Multiple of 82,224 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 82,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,224) = 2

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

GCF(82,224) x common factors =2 x 1 = 2

LCM(82,224) = ( 82 × 224 ) / 2

LCM(82,224) = 18368 / 2

LCM(82,224) = 9184


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 858/82, 5273/224

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 858/82, 5273/224?

Answer: GCF of Numerators as per given numbers 858/82, 5273/224 is

GCF of Numerators i.e. for 858,5273 is 1

LCM of denominators i.e. for 82,224 is 9184.

Thus, GCF of Fractions is 1/9184.Finally, GCF of Fractions for 858/82, 5273/224 is 1/9184.