Greatest Common Factor of 277/545, 6504/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 277/545, 6504/286

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 277/545,6504/286

Given fractions are 277/545,6504/286

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 277,6504

Greatest Common Factor of Numerators i.e. GCF of 277,6504 is 1 .

LCM of Denominators means LCM of 545,286 as per the given fractions.

LCM of 545,286 is 155870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 277,6504

GCF of Fractions 277/545,6504/286 is 1/155870

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

Greatest Common Factor of 277,6504 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,6504 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 6504

List of positive integer factors of 6504 that divides 6504 without a remainder.

1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504

Greatest Common Factor

We found the factors 277,6504 . The biggest common factor number is the GCF number.
So the greatest common factor 277,6504 is 1.

Lets's calculate LCM of 545,286

Given numbers has no common factors except 1. So, there LCM is their product i.e 155870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155870

Therefore, the GCF of Fractions 277/545,6504/286 is 1/155870

Least Common Multiple of 545,286 with GCF Formula

Least Common Multiple of 545,286 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 545,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,286) = 1

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

GCF(545,286) x common factors =1 x 1 = 1

LCM(545,286) = ( 545 × 286 ) / 1

LCM(545,286) = 155870 / 1

LCM(545,286) = 155870


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 277/545, 6504/286

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 277/545, 6504/286?

Answer: GCF of Numerators as per given numbers 277/545, 6504/286 is

GCF of Numerators i.e. for 277,6504 is 1

LCM of denominators i.e. for 545,286 is 155870.

Thus, GCF of Fractions is 1/155870.Finally, GCF of Fractions for 277/545, 6504/286 is 1/155870.