Greatest Common Factor of 7695/746, 1503/9747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7695/746, 1503/9747

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 7695/746,1503/9747

Given fractions are 7695/746,1503/9747

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 7695,1503

Greatest Common Factor of Numerators i.e. GCF of 7695,1503 is 9 .

LCM of Denominators means LCM of 746,9747 as per the given fractions.

LCM of 746,9747 is 7271262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7695,1503

GCF of Fractions 7695/746,1503/9747 is 9/7271262

3 7695, 1503
3 2565, 501
855, 167

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

Greatest Common Factor of 7695,1503 By Matching Biggest Common Factor Method

Greatest Common Factor of 7695,1503 By Matching Biggest Common Factor Method

Factors of 7695

List of positive integer factors of 7695 that divides 7695 without a remainder.

1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1,3,9,167,501,1503

Greatest Common Factor

We found the factors 7695,1503 . The biggest common factor number is the GCF number.
So the greatest common factor 7695,1503 is 9.

Lets's calculate LCM of 746,9747

Given numbers has no common factors except 1. So, there LCM is their product i.e 7271262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/7271262

Therefore, the GCF of Fractions 7695/746,1503/9747 is 9/7271262

Least Common Multiple of 746,9747 with GCF Formula

Least Common Multiple of 746,9747 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 746,9747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,9747) = 1

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

GCF(746,9747) x common factors =1 x 1 = 1

LCM(746,9747) = ( 746 × 9747 ) / 1

LCM(746,9747) = 7271262 / 1

LCM(746,9747) = 7271262


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 7695/746, 1503/9747

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 7695/746, 1503/9747?

Answer: GCF of Numerators as per given numbers 7695/746, 1503/9747 is

GCF of Numerators i.e. for 7695,1503 is 9

LCM of denominators i.e. for 746,9747 is 7271262.

Thus, GCF of Fractions is 9/7271262.Finally, GCF of Fractions for 7695/746, 1503/9747 is 9/7271262.