Greatest Common Factor of 696/773, 7599/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/773, 7599/699

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 696/773,7599/699

Given fractions are 696/773,7599/699

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 696,7599

Greatest Common Factor of Numerators i.e. GCF of 696,7599 is 3 .

LCM of Denominators means LCM of 773,699 as per the given fractions.

LCM of 773,699 is 540327 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,7599

GCF of Fractions 696/773,7599/699 is 3/540327

3 696, 7599
232, 2533

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 696,7599 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,7599 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 7599

List of positive integer factors of 7599 that divides 7599 without a remainder.

1,3,17,51,149,447,2533,7599

Greatest Common Factor

We found the factors 696,7599 . The biggest common factor number is the GCF number.
So the greatest common factor 696,7599 is 3.

Lets's calculate LCM of 773,699

Given numbers has no common factors except 1. So, there LCM is their product i.e 540327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/540327

Therefore, the GCF of Fractions 696/773,7599/699 is 3/540327

Least Common Multiple of 773,699 with GCF Formula

Least Common Multiple of 773,699 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 773,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,699) = 1

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

GCF(773,699) x common factors =1 x 1 = 1

LCM(773,699) = ( 773 × 699 ) / 1

LCM(773,699) = 540327 / 1

LCM(773,699) = 540327


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 696/773, 7599/699

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 696/773, 7599/699?

Answer: GCF of Numerators as per given numbers 696/773, 7599/699 is

GCF of Numerators i.e. for 696,7599 is 3

LCM of denominators i.e. for 773,699 is 540327.

Thus, GCF of Fractions is 3/540327.Finally, GCF of Fractions for 696/773, 7599/699 is 3/540327.