Greatest Common Factor of 704/151, 6854/6371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/151, 6854/6371

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 704/151,6854/6371

Given fractions are 704/151,6854/6371

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 704,6854

Greatest Common Factor of Numerators i.e. GCF of 704,6854 is 2 .

LCM of Denominators means LCM of 151,6371 as per the given fractions.

LCM of 151,6371 is 962021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,6854

GCF of Fractions 704/151,6854/6371 is 2/962021

2 704, 6854
352, 3427

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

Greatest Common Factor of 704,6854 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,6854 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1,2,23,46,149,298,3427,6854

Greatest Common Factor

We found the factors 704,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 704,6854 is 2.

Lets's calculate LCM of 151,6371

Given numbers has no common factors except 1. So, there LCM is their product i.e 962021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/962021

Therefore, the GCF of Fractions 704/151,6854/6371 is 2/962021

Least Common Multiple of 151,6371 with GCF Formula

Least Common Multiple of 151,6371 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 151,6371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,6371) = 1

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

GCF(151,6371) x common factors =1 x 1 = 1

LCM(151,6371) = ( 151 × 6371 ) / 1

LCM(151,6371) = 962021 / 1

LCM(151,6371) = 962021


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 704/151, 6854/6371

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 704/151, 6854/6371?

Answer: GCF of Numerators as per given numbers 704/151, 6854/6371 is

GCF of Numerators i.e. for 704,6854 is 2

LCM of denominators i.e. for 151,6371 is 962021.

Thus, GCF of Fractions is 2/962021.Finally, GCF of Fractions for 704/151, 6854/6371 is 2/962021.