Greatest Common Factor of 720/817, 6116/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 720/817, 6116/740

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 720/817,6116/740

Given fractions are 720/817,6116/740

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 720,6116

Greatest Common Factor of Numerators i.e. GCF of 720,6116 is 4 .

LCM of Denominators means LCM of 817,740 as per the given fractions.

LCM of 817,740 is 604580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,6116

GCF of Fractions 720/817,6116/740 is 4/604580

2 720, 6116
2 360, 3058
180, 1529

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 720,6116 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,6116 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1,2,4,11,22,44,139,278,556,1529,3058,6116

Greatest Common Factor

We found the factors 720,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 720,6116 is 4.


Lets's calculate LCM of 817,740

Given numbers has no common factors except 1. So, there LCM is their product i.e 604580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/604580

Therefore, the GCF of Fractions 720/817,6116/740 is 4/604580

Least Common Multiple of 817,740 with GCF Formula

Least Common Multiple of 817,740 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 817,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,740) = 1

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

GCF(817,740) x common factors =1 x 1 = 1

LCM(817,740) = ( 817 × 740 ) / 1

LCM(817,740) = 604580 / 1

LCM(817,740) = 604580


GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 720/817, 6116/740

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 720/817, 6116/740?

Answer: GCF of Numerators as per given numbers 720/817, 6116/740 is

GCF of Numerators i.e. for 720,6116 is 4

LCM of denominators i.e. for 817,740 is 604580.

Thus, GCF of Fractions is 4/604580.Finally, GCF of Fractions for 720/817, 6116/740 is 4/604580.