Greatest Common Factor of 506/32, 177/66, 884/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/32, 177/66, 884/52

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 506/32,177/66,884/52

Given fractions are 506/32,177/66,884/52

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 506,177,884

Greatest Common Factor of Numerators i.e. GCF of 506,177,884 is 1 .

LCM of Denominators means LCM of 32,66,52 as per the given fractions.

LCM of 32,66,52 is 13728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,177,884

GCF of Fractions 506/32,177/66,884/52 is 1/13728

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

Greatest Common Factor of 506,177,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,177,884 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 506,177,884 . The biggest common factor number is the GCF number.
So the greatest common factor 506,177,884 is 1.

Lets's calculate LCM of 32,66,52

2 32, 66, 52
2 16, 33, 26
8, 33, 13

∴ So the LCM of the given numbers is 2 x 2 x 8 x 33 x 13 = 13728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13728

Therefore, the GCF of Fractions 506/32,177/66,884/52 is 1/13728

Least Common Multiple of 32,66,52 with GCF Formula

Least Common Multiple of 32,66,52 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 32,66,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,66,52) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(32,66,52) x common factors =2 x 4 = 8

LCM(32,66,52) = ( 32 × 66 × 52 ) / 8

LCM(32,66,52) = 109824 / 8

LCM(32,66,52) = 13728


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 506/32, 177/66, 884/52

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 506/32, 177/66, 884/52?

Answer: GCF of Numerators as per given numbers 506/32, 177/66, 884/52 is

GCF of Numerators i.e. for 506,177,884 is 1

LCM of denominators i.e. for 32,66,52 is 13728.

Thus, GCF of Fractions is 1/13728.Finally, GCF of Fractions for 506/32, 177/66, 884/52 is 1/13728.