Greatest Common Factor of 9582/782, 3174/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9582/782, 3174/494

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 9582/782,3174/494

Given fractions are 9582/782,3174/494

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 9582,3174

Greatest Common Factor of Numerators i.e. GCF of 9582,3174 is 6 .

LCM of Denominators means LCM of 782,494 as per the given fractions.

LCM of 782,494 is 193154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9582,3174

GCF of Fractions 9582/782,3174/494 is 6/193154

2 9582, 3174
3 4791, 1587
1597, 529

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9582,3174 By Matching Biggest Common Factor Method

Greatest Common Factor of 9582,3174 By Matching Biggest Common Factor Method

Factors of 9582

List of positive integer factors of 9582 that divides 9582 without a remainder.

1,2,3,6,1597,3194,4791,9582

Factors of 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1,2,3,6,23,46,69,138,529,1058,1587,3174

Greatest Common Factor

We found the factors 9582,3174 . The biggest common factor number is the GCF number.
So the greatest common factor 9582,3174 is 6.

Lets's calculate LCM of 782,494

2 782, 494
391, 247

∴ So the LCM of the given numbers is 2 x 391 x 247 = 193154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/193154

Therefore, the GCF of Fractions 9582/782,3174/494 is 6/193154

Least Common Multiple of 782,494 with GCF Formula

Least Common Multiple of 782,494 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 782,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,494) = 2

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

GCF(782,494) x common factors =2 x 1 = 2

LCM(782,494) = ( 782 × 494 ) / 2

LCM(782,494) = 386308 / 2

LCM(782,494) = 193154


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 9582/782, 3174/494

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 9582/782, 3174/494?

Answer: GCF of Numerators as per given numbers 9582/782, 3174/494 is

GCF of Numerators i.e. for 9582,3174 is 6

LCM of denominators i.e. for 782,494 is 193154.

Thus, GCF of Fractions is 6/193154.Finally, GCF of Fractions for 9582/782, 3174/494 is 6/193154.