Greatest Common Factor of 5417/719, 7260/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5417/719, 7260/678

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 5417/719,7260/678

Given fractions are 5417/719,7260/678

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 5417,7260

Greatest Common Factor of Numerators i.e. GCF of 5417,7260 is 1 .

LCM of Denominators means LCM of 719,678 as per the given fractions.

LCM of 719,678 is 487482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5417,7260

GCF of Fractions 5417/719,7260/678 is 1/487482

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

Greatest Common Factor of 5417,7260 By Matching Biggest Common Factor Method

Greatest Common Factor of 5417,7260 By Matching Biggest Common Factor Method

Factors of 5417

List of positive integer factors of 5417 that divides 5417 without a remainder.

1,5417

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Greatest Common Factor

We found the factors 5417,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 5417,7260 is 1.

Lets's calculate LCM of 719,678

Given numbers has no common factors except 1. So, there LCM is their product i.e 487482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487482

Therefore, the GCF of Fractions 5417/719,7260/678 is 1/487482

Least Common Multiple of 719,678 with GCF Formula

Least Common Multiple of 719,678 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 719,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,678) = 1

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

GCF(719,678) x common factors =1 x 1 = 1

LCM(719,678) = ( 719 × 678 ) / 1

LCM(719,678) = 487482 / 1

LCM(719,678) = 487482


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 5417/719, 7260/678

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 5417/719, 7260/678?

Answer: GCF of Numerators as per given numbers 5417/719, 7260/678 is

GCF of Numerators i.e. for 5417,7260 is 1

LCM of denominators i.e. for 719,678 is 487482.

Thus, GCF of Fractions is 1/487482.Finally, GCF of Fractions for 5417/719, 7260/678 is 1/487482.