Greatest Common Factor of 7217/263, 4374/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7217/263, 4374/565

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 7217/263,4374/565

Given fractions are 7217/263,4374/565

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 7217,4374

Greatest Common Factor of Numerators i.e. GCF of 7217,4374 is 1 .

LCM of Denominators means LCM of 263,565 as per the given fractions.

LCM of 263,565 is 148595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7217,4374

GCF of Fractions 7217/263,4374/565 is 1/148595

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

Greatest Common Factor of 7217,4374 By Matching Biggest Common Factor Method

Greatest Common Factor of 7217,4374 By Matching Biggest Common Factor Method

Factors of 7217

List of positive integer factors of 7217 that divides 7217 without a remainder.

1,7,1031,7217

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Greatest Common Factor

We found the factors 7217,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 7217,4374 is 1.

Lets's calculate LCM of 263,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 148595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148595

Therefore, the GCF of Fractions 7217/263,4374/565 is 1/148595

Least Common Multiple of 263,565 with GCF Formula

Least Common Multiple of 263,565 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 263,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,565) = 1

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

GCF(263,565) x common factors =1 x 1 = 1

LCM(263,565) = ( 263 × 565 ) / 1

LCM(263,565) = 148595 / 1

LCM(263,565) = 148595


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 7217/263, 4374/565

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 7217/263, 4374/565?

Answer: GCF of Numerators as per given numbers 7217/263, 4374/565 is

GCF of Numerators i.e. for 7217,4374 is 1

LCM of denominators i.e. for 263,565 is 148595.

Thus, GCF of Fractions is 1/148595.Finally, GCF of Fractions for 7217/263, 4374/565 is 1/148595.