Greatest Common Factor of 704/996, 6760/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/996, 6760/899

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 704/996,6760/899

Given fractions are 704/996,6760/899

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 704,6760

Greatest Common Factor of Numerators i.e. GCF of 704,6760 is 8 .

LCM of Denominators means LCM of 996,899 as per the given fractions.

LCM of 996,899 is 895404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,6760

GCF of Fractions 704/996,6760/899 is 8/895404

2 704, 6760
2 352, 3380
2 176, 1690
88, 845

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 704,6760 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,6760 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 6760

List of positive integer factors of 6760 that divides 6760 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760

Greatest Common Factor

We found the factors 704,6760 . The biggest common factor number is the GCF number.
So the greatest common factor 704,6760 is 8.

Lets's calculate LCM of 996,899

Given numbers has no common factors except 1. So, there LCM is their product i.e 895404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/895404

Therefore, the GCF of Fractions 704/996,6760/899 is 8/895404

Least Common Multiple of 996,899 with GCF Formula

Least Common Multiple of 996,899 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 996,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,899) = 1

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

GCF(996,899) x common factors =1 x 1 = 1

LCM(996,899) = ( 996 × 899 ) / 1

LCM(996,899) = 895404 / 1

LCM(996,899) = 895404


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 704/996, 6760/899

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 704/996, 6760/899?

Answer: GCF of Numerators as per given numbers 704/996, 6760/899 is

GCF of Numerators i.e. for 704,6760 is 8

LCM of denominators i.e. for 996,899 is 895404.

Thus, GCF of Fractions is 8/895404.Finally, GCF of Fractions for 704/996, 6760/899 is 8/895404.