Greatest Common Factor of 1678/47, 5864/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1678/47, 5864/704

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 1678/47,5864/704

Given fractions are 1678/47,5864/704

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 1678,5864

Greatest Common Factor of Numerators i.e. GCF of 1678,5864 is 2 .

LCM of Denominators means LCM of 47,704 as per the given fractions.

LCM of 47,704 is 33088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1678,5864

GCF of Fractions 1678/47,5864/704 is 2/33088

2 1678, 5864
839, 2932

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

Greatest Common Factor of 1678,5864 By Matching Biggest Common Factor Method

Greatest Common Factor of 1678,5864 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 5864

List of positive integer factors of 5864 that divides 5864 without a remainder.

1,2,4,8,733,1466,2932,5864

Greatest Common Factor

We found the factors 1678,5864 . The biggest common factor number is the GCF number.
So the greatest common factor 1678,5864 is 2.

Lets's calculate LCM of 47,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 33088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33088

Therefore, the GCF of Fractions 1678/47,5864/704 is 2/33088

Least Common Multiple of 47,704 with GCF Formula

Least Common Multiple of 47,704 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 47,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,704) = 1

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

GCF(47,704) x common factors =1 x 1 = 1

LCM(47,704) = ( 47 × 704 ) / 1

LCM(47,704) = 33088 / 1

LCM(47,704) = 33088


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 1678/47, 5864/704

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 1678/47, 5864/704?

Answer: GCF of Numerators as per given numbers 1678/47, 5864/704 is

GCF of Numerators i.e. for 1678,5864 is 2

LCM of denominators i.e. for 47,704 is 33088.

Thus, GCF of Fractions is 2/33088.Finally, GCF of Fractions for 1678/47, 5864/704 is 2/33088.