Greatest Common Factor of 5949/679, 1701/7853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5949/679, 1701/7853

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 5949/679,1701/7853

Given fractions are 5949/679,1701/7853

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 5949,1701

Greatest Common Factor of Numerators i.e. GCF of 5949,1701 is 9 .

LCM of Denominators means LCM of 679,7853 as per the given fractions.

LCM of 679,7853 is 5332187 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5949,1701

GCF of Fractions 5949/679,1701/7853 is 9/5332187

3 5949, 1701
3 1983, 567
661, 189

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5949,1701 By Matching Biggest Common Factor Method

Greatest Common Factor of 5949,1701 By Matching Biggest Common Factor Method

Factors of 5949

List of positive integer factors of 5949 that divides 5949 without a remainder.

1,3,9,661,1983,5949

Factors of 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1,3,7,9,21,27,63,81,189,243,567,1701

Greatest Common Factor

We found the factors 5949,1701 . The biggest common factor number is the GCF number.
So the greatest common factor 5949,1701 is 9.

Lets's calculate LCM of 679,7853

Given numbers has no common factors except 1. So, there LCM is their product i.e 5332187

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5332187

Therefore, the GCF of Fractions 5949/679,1701/7853 is 9/5332187

Least Common Multiple of 679,7853 with GCF Formula

Least Common Multiple of 679,7853 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 679,7853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,7853) = 1

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

GCF(679,7853) x common factors =1 x 1 = 1

LCM(679,7853) = ( 679 × 7853 ) / 1

LCM(679,7853) = 5332187 / 1

LCM(679,7853) = 5332187


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 5949/679, 1701/7853

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 5949/679, 1701/7853?

Answer: GCF of Numerators as per given numbers 5949/679, 1701/7853 is

GCF of Numerators i.e. for 5949,1701 is 9

LCM of denominators i.e. for 679,7853 is 5332187.

Thus, GCF of Fractions is 9/5332187.Finally, GCF of Fractions for 5949/679, 1701/7853 is 9/5332187.