Greatest Common Factor of 1365/267, 4273/6488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1365/267, 4273/6488

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 1365/267,4273/6488

Given fractions are 1365/267,4273/6488

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 1365,4273

Greatest Common Factor of Numerators i.e. GCF of 1365,4273 is 1 .

LCM of Denominators means LCM of 267,6488 as per the given fractions.

LCM of 267,6488 is 1732296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1365,4273

GCF of Fractions 1365/267,4273/6488 is 1/1732296

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

Greatest Common Factor of 1365,4273 By Matching Biggest Common Factor Method

Greatest Common Factor of 1365,4273 By Matching Biggest Common Factor Method

Factors of 1365

List of positive integer factors of 1365 that divides 1365 without a remainder.

1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365

Factors of 4273

List of positive integer factors of 4273 that divides 4273 without a remainder.

1,4273

Greatest Common Factor

We found the factors 1365,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 1365,4273 is 1.

Lets's calculate LCM of 267,6488

Given numbers has no common factors except 1. So, there LCM is their product i.e 1732296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732296

Therefore, the GCF of Fractions 1365/267,4273/6488 is 1/1732296

Least Common Multiple of 267,6488 with GCF Formula

Least Common Multiple of 267,6488 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 267,6488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,6488) = 1

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

GCF(267,6488) x common factors =1 x 1 = 1

LCM(267,6488) = ( 267 × 6488 ) / 1

LCM(267,6488) = 1732296 / 1

LCM(267,6488) = 1732296


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 1365/267, 4273/6488

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 1365/267, 4273/6488?

Answer: GCF of Numerators as per given numbers 1365/267, 4273/6488 is

GCF of Numerators i.e. for 1365,4273 is 1

LCM of denominators i.e. for 267,6488 is 1732296.

Thus, GCF of Fractions is 1/1732296.Finally, GCF of Fractions for 1365/267, 4273/6488 is 1/1732296.