Greatest Common Factor of 9663/395, 6677/7053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9663/395, 6677/7053

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 9663/395,6677/7053

Given fractions are 9663/395,6677/7053

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 9663,6677

Greatest Common Factor of Numerators i.e. GCF of 9663,6677 is 1 .

LCM of Denominators means LCM of 395,7053 as per the given fractions.

LCM of 395,7053 is 2785935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9663,6677

GCF of Fractions 9663/395,6677/7053 is 1/2785935

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9663,6677 By Matching Biggest Common Factor Method

Greatest Common Factor of 9663,6677 By Matching Biggest Common Factor Method

Factors of 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1,3,3221,9663

Factors of 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1,11,607,6677

Greatest Common Factor

We found the factors 9663,6677 . The biggest common factor number is the GCF number.
So the greatest common factor 9663,6677 is 1.

Lets's calculate LCM of 395,7053

Given numbers has no common factors except 1. So, there LCM is their product i.e 2785935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2785935

Therefore, the GCF of Fractions 9663/395,6677/7053 is 1/2785935

Least Common Multiple of 395,7053 with GCF Formula

Least Common Multiple of 395,7053 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 395,7053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,7053) = 1

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

GCF(395,7053) x common factors =1 x 1 = 1

LCM(395,7053) = ( 395 × 7053 ) / 1

LCM(395,7053) = 2785935 / 1

LCM(395,7053) = 2785935


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 9663/395, 6677/7053

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 9663/395, 6677/7053?

Answer: GCF of Numerators as per given numbers 9663/395, 6677/7053 is

GCF of Numerators i.e. for 9663,6677 is 1

LCM of denominators i.e. for 395,7053 is 2785935.

Thus, GCF of Fractions is 1/2785935.Finally, GCF of Fractions for 9663/395, 6677/7053 is 1/2785935.