Greatest Common Factor of 647/41, 722/23, 701/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 647/41, 722/23, 701/401

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 647/41,722/23,701/401

Given fractions are 647/41,722/23,701/401

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 647,722,701

Greatest Common Factor of Numerators i.e. GCF of 647,722,701 is 1 .

LCM of Denominators means LCM of 41,23,401 as per the given fractions.

LCM of 41,23,401 is 378143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 647,722,701

GCF of Fractions 647/41,722/23,701/401 is 1/378143

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

Greatest Common Factor of 647,722,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,722,701 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 647,722,701 . The biggest common factor number is the GCF number.
So the greatest common factor 647,722,701 is 1.

Lets's calculate LCM of 41,23,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 378143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378143

Therefore, the GCF of Fractions 647/41,722/23,701/401 is 1/378143

Least Common Multiple of 41,23,401 with GCF Formula

Least Common Multiple of 41,23,401 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 41,23,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,23,401) = 1

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

GCF(41,23,401) x common factors =1 x 1 = 1

LCM(41,23,401) = ( 41 × 23 × 401 ) / 1

LCM(41,23,401) = 378143 / 1

LCM(41,23,401) = 378143


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 647/41, 722/23, 701/401

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 647/41, 722/23, 701/401?

Answer: GCF of Numerators as per given numbers 647/41, 722/23, 701/401 is

GCF of Numerators i.e. for 647,722,701 is 1

LCM of denominators i.e. for 41,23,401 is 378143.

Thus, GCF of Fractions is 1/378143.Finally, GCF of Fractions for 647/41, 722/23, 701/401 is 1/378143.