Greatest Common Factor of 574/82, 854/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 574/82, 854/576

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 574/82,854/576

Given fractions are 574/82,854/576

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 574,854

Greatest Common Factor of Numerators i.e. GCF of 574,854 is 14 .

LCM of Denominators means LCM of 82,576 as per the given fractions.

LCM of 82,576 is 23616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 574,854

GCF of Fractions 574/82,854/576 is 14/23616

2 574, 854
7 287, 427
41, 61

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 574,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,854 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 574,854 . The biggest common factor number is the GCF number.
So the greatest common factor 574,854 is 14.

Lets's calculate LCM of 82,576

2 82, 576
41, 288

∴ So the LCM of the given numbers is 2 x 41 x 288 = 23616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/23616

Therefore, the GCF of Fractions 574/82,854/576 is 14/23616

Least Common Multiple of 82,576 with GCF Formula

Least Common Multiple of 82,576 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 82,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,576) = 2

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

GCF(82,576) x common factors =2 x 1 = 2

LCM(82,576) = ( 82 × 576 ) / 2

LCM(82,576) = 47232 / 2

LCM(82,576) = 23616


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 574/82, 854/576

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 574/82, 854/576?

Answer: GCF of Numerators as per given numbers 574/82, 854/576 is

GCF of Numerators i.e. for 574,854 is 14

LCM of denominators i.e. for 82,576 is 23616.

Thus, GCF of Fractions is 14/23616.Finally, GCF of Fractions for 574/82, 854/576 is 14/23616.