Greatest Common Factor of 1146/787, 8797/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1146/787, 8797/395

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 1146/787,8797/395

Given fractions are 1146/787,8797/395

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 1146,8797

Greatest Common Factor of Numerators i.e. GCF of 1146,8797 is 1 .

LCM of Denominators means LCM of 787,395 as per the given fractions.

LCM of 787,395 is 310865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1146,8797

GCF of Fractions 1146/787,8797/395 is 1/310865

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

Greatest Common Factor of 1146,8797 By Matching Biggest Common Factor Method

Greatest Common Factor of 1146,8797 By Matching Biggest Common Factor Method

Factors of 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1,2,3,6,191,382,573,1146

Factors of 8797

List of positive integer factors of 8797 that divides 8797 without a remainder.

1,19,463,8797

Greatest Common Factor

We found the factors 1146,8797 . The biggest common factor number is the GCF number.
So the greatest common factor 1146,8797 is 1.

Lets's calculate LCM of 787,395

Given numbers has no common factors except 1. So, there LCM is their product i.e 310865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310865

Therefore, the GCF of Fractions 1146/787,8797/395 is 1/310865

Least Common Multiple of 787,395 with GCF Formula

Least Common Multiple of 787,395 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 787,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,395) = 1

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

GCF(787,395) x common factors =1 x 1 = 1

LCM(787,395) = ( 787 × 395 ) / 1

LCM(787,395) = 310865 / 1

LCM(787,395) = 310865


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 1146/787, 8797/395

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 1146/787, 8797/395?

Answer: GCF of Numerators as per given numbers 1146/787, 8797/395 is

GCF of Numerators i.e. for 1146,8797 is 1

LCM of denominators i.e. for 787,395 is 310865.

Thus, GCF of Fractions is 1/310865.Finally, GCF of Fractions for 1146/787, 8797/395 is 1/310865.