Greatest Common Factor of 9782/340, 7168/9739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9782/340, 7168/9739

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 9782/340,7168/9739

Given fractions are 9782/340,7168/9739

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 9782,7168

Greatest Common Factor of Numerators i.e. GCF of 9782,7168 is 2 .

LCM of Denominators means LCM of 340,9739 as per the given fractions.

LCM of 340,9739 is 3311260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9782,7168

GCF of Fractions 9782/340,7168/9739 is 2/3311260

2 9782, 7168
4891, 3584

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

Greatest Common Factor of 9782,7168 By Matching Biggest Common Factor Method

Greatest Common Factor of 9782,7168 By Matching Biggest Common Factor Method

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Factors of 7168

List of positive integer factors of 7168 that divides 7168 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168

Greatest Common Factor

We found the factors 9782,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 9782,7168 is 2.

Lets's calculate LCM of 340,9739

Given numbers has no common factors except 1. So, there LCM is their product i.e 3311260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3311260

Therefore, the GCF of Fractions 9782/340,7168/9739 is 2/3311260

Least Common Multiple of 340,9739 with GCF Formula

Least Common Multiple of 340,9739 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 340,9739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,9739) = 1

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

GCF(340,9739) x common factors =1 x 1 = 1

LCM(340,9739) = ( 340 × 9739 ) / 1

LCM(340,9739) = 3311260 / 1

LCM(340,9739) = 3311260


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 9782/340, 7168/9739

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 9782/340, 7168/9739?

Answer: GCF of Numerators as per given numbers 9782/340, 7168/9739 is

GCF of Numerators i.e. for 9782,7168 is 2

LCM of denominators i.e. for 340,9739 is 3311260.

Thus, GCF of Fractions is 2/3311260.Finally, GCF of Fractions for 9782/340, 7168/9739 is 2/3311260.