Greatest Common Factor of 27/77, 54/75, 217/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/77, 54/75, 217/505

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 27/77,54/75,217/505

Given fractions are 27/77,54/75,217/505

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 27,54,217

Greatest Common Factor of Numerators i.e. GCF of 27,54,217 is 1 .

LCM of Denominators means LCM of 77,75,505 as per the given fractions.

LCM of 77,75,505 is 583275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,54,217

GCF of Fractions 27/77,54/75,217/505 is 1/583275

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

Greatest Common Factor of 27,54,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,54,217 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 27,54,217 . The biggest common factor number is the GCF number.
So the greatest common factor 27,54,217 is 1.

Lets's calculate LCM of 77,75,505

5 77, 75, 505
77, 15, 101

∴ So the LCM of the given numbers is 5 x 77 x 15 x 101 = 583275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583275

Therefore, the GCF of Fractions 27/77,54/75,217/505 is 1/583275

Least Common Multiple of 77,75,505 with GCF Formula

Least Common Multiple of 77,75,505 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 77,75,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,75,505) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(77,75,505) x common factors =1 x 5 = 5

LCM(77,75,505) = ( 77 × 75 × 505 ) / 5

LCM(77,75,505) = 2916375 / 5

LCM(77,75,505) = 583275


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 27/77, 54/75, 217/505

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 27/77, 54/75, 217/505?

Answer: GCF of Numerators as per given numbers 27/77, 54/75, 217/505 is

GCF of Numerators i.e. for 27,54,217 is 1

LCM of denominators i.e. for 77,75,505 is 583275.

Thus, GCF of Fractions is 1/583275.Finally, GCF of Fractions for 27/77, 54/75, 217/505 is 1/583275.