Greatest Common Factor of 277/15, 1495/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 277/15, 1495/177

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 277/15,1495/177

Given fractions are 277/15,1495/177

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 277,1495

Greatest Common Factor of Numerators i.e. GCF of 277,1495 is 1 .

LCM of Denominators means LCM of 15,177 as per the given fractions.

LCM of 15,177 is 885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 277,1495

GCF of Fractions 277/15,1495/177 is 1/885

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

Greatest Common Factor of 277,1495 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,1495 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 1495

List of positive integer factors of 1495 that divides 1495 without a remainder.

1,5,13,23,65,115,299,1495

Greatest Common Factor

We found the factors 277,1495 . The biggest common factor number is the GCF number.
So the greatest common factor 277,1495 is 1.

Lets's calculate LCM of 15,177

3 15, 177
5, 59

∴ So the LCM of the given numbers is 3 x 5 x 59 = 885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/885

Therefore, the GCF of Fractions 277/15,1495/177 is 1/885

Least Common Multiple of 15,177 with GCF Formula

Least Common Multiple of 15,177 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 15,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,177) = 3

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

GCF(15,177) x common factors =3 x 1 = 3

LCM(15,177) = ( 15 × 177 ) / 3

LCM(15,177) = 2655 / 3

LCM(15,177) = 885


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 277/15, 1495/177

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 277/15, 1495/177?

Answer: GCF of Numerators as per given numbers 277/15, 1495/177 is

GCF of Numerators i.e. for 277,1495 is 1

LCM of denominators i.e. for 15,177 is 885.

Thus, GCF of Fractions is 1/885.Finally, GCF of Fractions for 277/15, 1495/177 is 1/885.