Greatest Common Factor of 6482/45, 9558/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6482/45, 9558/709

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 6482/45,9558/709

Given fractions are 6482/45,9558/709

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 6482,9558

Greatest Common Factor of Numerators i.e. GCF of 6482,9558 is 2 .

LCM of Denominators means LCM of 45,709 as per the given fractions.

LCM of 45,709 is 31905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6482,9558

GCF of Fractions 6482/45,9558/709 is 2/31905

2 6482, 9558
3241, 4779

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

Greatest Common Factor of 6482,9558 By Matching Biggest Common Factor Method

Greatest Common Factor of 6482,9558 By Matching Biggest Common Factor Method

Factors of 6482

List of positive integer factors of 6482 that divides 6482 without a remainder.

1,2,7,14,463,926,3241,6482

Factors of 9558

List of positive integer factors of 9558 that divides 9558 without a remainder.

1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558

Greatest Common Factor

We found the factors 6482,9558 . The biggest common factor number is the GCF number.
So the greatest common factor 6482,9558 is 2.

Lets's calculate LCM of 45,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 31905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31905

Therefore, the GCF of Fractions 6482/45,9558/709 is 2/31905

Least Common Multiple of 45,709 with GCF Formula

Least Common Multiple of 45,709 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 45,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,709) = 1

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

GCF(45,709) x common factors =1 x 1 = 1

LCM(45,709) = ( 45 × 709 ) / 1

LCM(45,709) = 31905 / 1

LCM(45,709) = 31905


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 6482/45, 9558/709

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 6482/45, 9558/709?

Answer: GCF of Numerators as per given numbers 6482/45, 9558/709 is

GCF of Numerators i.e. for 6482,9558 is 2

LCM of denominators i.e. for 45,709 is 31905.

Thus, GCF of Fractions is 2/31905.Finally, GCF of Fractions for 6482/45, 9558/709 is 2/31905.