Greatest Common Factor of 7996/773, 5338/2342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7996/773, 5338/2342

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 7996/773,5338/2342

Given fractions are 7996/773,5338/2342

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 7996,5338

Greatest Common Factor of Numerators i.e. GCF of 7996,5338 is 2 .

LCM of Denominators means LCM of 773,2342 as per the given fractions.

LCM of 773,2342 is 1810366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7996,5338

GCF of Fractions 7996/773,5338/2342 is 2/1810366

2 7996, 5338
3998, 2669

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

Greatest Common Factor of 7996,5338 By Matching Biggest Common Factor Method

Greatest Common Factor of 7996,5338 By Matching Biggest Common Factor Method

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1,2,4,1999,3998,7996

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

Greatest Common Factor

We found the factors 7996,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 7996,5338 is 2.

Lets's calculate LCM of 773,2342

Given numbers has no common factors except 1. So, there LCM is their product i.e 1810366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1810366

Therefore, the GCF of Fractions 7996/773,5338/2342 is 2/1810366

Least Common Multiple of 773,2342 with GCF Formula

Least Common Multiple of 773,2342 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 773,2342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,2342) = 1

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

GCF(773,2342) x common factors =1 x 1 = 1

LCM(773,2342) = ( 773 × 2342 ) / 1

LCM(773,2342) = 1810366 / 1

LCM(773,2342) = 1810366


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 7996/773, 5338/2342

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 7996/773, 5338/2342?

Answer: GCF of Numerators as per given numbers 7996/773, 5338/2342 is

GCF of Numerators i.e. for 7996,5338 is 2

LCM of denominators i.e. for 773,2342 is 1810366.

Thus, GCF of Fractions is 2/1810366.Finally, GCF of Fractions for 7996/773, 5338/2342 is 2/1810366.