Greatest Common Factor of 7617/306, 7210/4436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7617/306, 7210/4436

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 7617/306,7210/4436

Given fractions are 7617/306,7210/4436

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 7617,7210

Greatest Common Factor of Numerators i.e. GCF of 7617,7210 is 1 .

LCM of Denominators means LCM of 306,4436 as per the given fractions.

LCM of 306,4436 is 678708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7617,7210

GCF of Fractions 7617/306,7210/4436 is 1/678708

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

Greatest Common Factor of 7617,7210 By Matching Biggest Common Factor Method

Greatest Common Factor of 7617,7210 By Matching Biggest Common Factor Method

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1,3,2539,7617

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors 7617,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 7617,7210 is 1.

Lets's calculate LCM of 306,4436

2 306, 4436
153, 2218

∴ So the LCM of the given numbers is 2 x 153 x 2218 = 678708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678708

Therefore, the GCF of Fractions 7617/306,7210/4436 is 1/678708

Least Common Multiple of 306,4436 with GCF Formula

Least Common Multiple of 306,4436 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 306,4436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,4436) = 2

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

GCF(306,4436) x common factors =2 x 1 = 2

LCM(306,4436) = ( 306 × 4436 ) / 2

LCM(306,4436) = 1357416 / 2

LCM(306,4436) = 678708


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 7617/306, 7210/4436

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 7617/306, 7210/4436?

Answer: GCF of Numerators as per given numbers 7617/306, 7210/4436 is

GCF of Numerators i.e. for 7617,7210 is 1

LCM of denominators i.e. for 306,4436 is 678708.

Thus, GCF of Fractions is 1/678708.Finally, GCF of Fractions for 7617/306, 7210/4436 is 1/678708.