Greatest Common Factor of 27/63, 571/17, 178/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/63, 571/17, 178/454

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 27/63,571/17,178/454

Given fractions are 27/63,571/17,178/454

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 27,571,178

Greatest Common Factor of Numerators i.e. GCF of 27,571,178 is 1 .

LCM of Denominators means LCM of 63,17,454 as per the given fractions.

LCM of 63,17,454 is 486234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,571,178

GCF of Fractions 27/63,571/17,178/454 is 1/486234

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

Greatest Common Factor of 27,571,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,571,178 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 27,571,178 . The biggest common factor number is the GCF number.
So the greatest common factor 27,571,178 is 1.

Lets's calculate LCM of 63,17,454

Given numbers has no common factors except 1. So, there LCM is their product i.e 486234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486234

Therefore, the GCF of Fractions 27/63,571/17,178/454 is 1/486234

Least Common Multiple of 63,17,454 with GCF Formula

Least Common Multiple of 63,17,454 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 63,17,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,17,454) = 1

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

GCF(63,17,454) x common factors =1 x 1 = 1

LCM(63,17,454) = ( 63 × 17 × 454 ) / 1

LCM(63,17,454) = 486234 / 1

LCM(63,17,454) = 486234


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 27/63, 571/17, 178/454

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 27/63, 571/17, 178/454?

Answer: GCF of Numerators as per given numbers 27/63, 571/17, 178/454 is

GCF of Numerators i.e. for 27,571,178 is 1

LCM of denominators i.e. for 63,17,454 is 486234.

Thus, GCF of Fractions is 1/486234.Finally, GCF of Fractions for 27/63, 571/17, 178/454 is 1/486234.