Greatest Common Factor of 7794/804, 9988/1817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7794/804, 9988/1817

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 7794/804,9988/1817

Given fractions are 7794/804,9988/1817

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 7794,9988

Greatest Common Factor of Numerators i.e. GCF of 7794,9988 is 2 .

LCM of Denominators means LCM of 804,1817 as per the given fractions.

LCM of 804,1817 is 1460868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7794,9988

GCF of Fractions 7794/804,9988/1817 is 2/1460868

2 7794, 9988
3897, 4994

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

Greatest Common Factor of 7794,9988 By Matching Biggest Common Factor Method

Greatest Common Factor of 7794,9988 By Matching Biggest Common Factor Method

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1,2,3,6,9,18,433,866,1299,2598,3897,7794

Factors of 9988

List of positive integer factors of 9988 that divides 9988 without a remainder.

1,2,4,11,22,44,227,454,908,2497,4994,9988

Greatest Common Factor

We found the factors 7794,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 7794,9988 is 2.

Lets's calculate LCM of 804,1817

Given numbers has no common factors except 1. So, there LCM is their product i.e 1460868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1460868

Therefore, the GCF of Fractions 7794/804,9988/1817 is 2/1460868

Least Common Multiple of 804,1817 with GCF Formula

Least Common Multiple of 804,1817 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 804,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,1817) = 1

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

GCF(804,1817) x common factors =1 x 1 = 1

LCM(804,1817) = ( 804 × 1817 ) / 1

LCM(804,1817) = 1460868 / 1

LCM(804,1817) = 1460868


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 7794/804, 9988/1817

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 7794/804, 9988/1817?

Answer: GCF of Numerators as per given numbers 7794/804, 9988/1817 is

GCF of Numerators i.e. for 7794,9988 is 2

LCM of denominators i.e. for 804,1817 is 1460868.

Thus, GCF of Fractions is 2/1460868.Finally, GCF of Fractions for 7794/804, 9988/1817 is 2/1460868.