Greatest Common Factor of 1678/312, 7761/8404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1678/312, 7761/8404

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 1678/312,7761/8404

Given fractions are 1678/312,7761/8404

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 1678,7761

Greatest Common Factor of Numerators i.e. GCF of 1678,7761 is 1 .

LCM of Denominators means LCM of 312,8404 as per the given fractions.

LCM of 312,8404 is 655512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1678,7761

GCF of Fractions 1678/312,7761/8404 is 1/655512

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

Greatest Common Factor of 1678,7761 By Matching Biggest Common Factor Method

Greatest Common Factor of 1678,7761 By Matching Biggest Common Factor Method

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1,2,839,1678

Factors of 7761

List of positive integer factors of 7761 that divides 7761 without a remainder.

1,3,13,39,199,597,2587,7761

Greatest Common Factor

We found the factors 1678,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 1678,7761 is 1.

Lets's calculate LCM of 312,8404

2 312, 8404
2 156, 4202
78, 2101

∴ So the LCM of the given numbers is 2 x 2 x 78 x 2101 = 655512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/655512

Therefore, the GCF of Fractions 1678/312,7761/8404 is 1/655512

Least Common Multiple of 312,8404 with GCF Formula

Least Common Multiple of 312,8404 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 312,8404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,8404) = 4

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

GCF(312,8404) x common factors =4 x 1 = 4

LCM(312,8404) = ( 312 × 8404 ) / 4

LCM(312,8404) = 2622048 / 4

LCM(312,8404) = 655512


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 1678/312, 7761/8404

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 1678/312, 7761/8404?

Answer: GCF of Numerators as per given numbers 1678/312, 7761/8404 is

GCF of Numerators i.e. for 1678,7761 is 1

LCM of denominators i.e. for 312,8404 is 655512.

Thus, GCF of Fractions is 1/655512.Finally, GCF of Fractions for 1678/312, 7761/8404 is 1/655512.