Greatest Common Factor of 28/176, 766/547, 466/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/176, 766/547, 466/570

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 28/176,766/547,466/570

Given fractions are 28/176,766/547,466/570

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 28,766,466

Greatest Common Factor of Numerators i.e. GCF of 28,766,466 is 2 .

LCM of Denominators means LCM of 176,547,570 as per the given fractions.

LCM of 176,547,570 is 27437520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,766,466

GCF of Fractions 28/176,766/547,466/570 is 2/27437520

2 28, 766, 466
14, 383, 233

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

Greatest Common Factor of 28,766,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,766,466 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 28,766,466 . The biggest common factor number is the GCF number.
So the greatest common factor 28,766,466 is 2.

Lets's calculate LCM of 176,547,570

2 176, 547, 570
88, 547, 285

∴ So the LCM of the given numbers is 2 x 88 x 547 x 285 = 27437520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27437520

Therefore, the GCF of Fractions 28/176,766/547,466/570 is 2/27437520

Least Common Multiple of 176,547,570 with GCF Formula

Least Common Multiple of 176,547,570 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 176,547,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,547,570) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(176,547,570) x common factors =1 x 2 = 2

LCM(176,547,570) = ( 176 × 547 × 570 ) / 2

LCM(176,547,570) = 54875040 / 2

LCM(176,547,570) = 27437520


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 28/176, 766/547, 466/570

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 28/176, 766/547, 466/570?

Answer: GCF of Numerators as per given numbers 28/176, 766/547, 466/570 is

GCF of Numerators i.e. for 28,766,466 is 2

LCM of denominators i.e. for 176,547,570 is 27437520.

Thus, GCF of Fractions is 2/27437520.Finally, GCF of Fractions for 28/176, 766/547, 466/570 is 2/27437520.