Greatest Common Factor of 647/220, 489/980, 646/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 647/220, 489/980, 646/401

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 647/220,489/980,646/401

Given fractions are 647/220,489/980,646/401

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 647,489,646

Greatest Common Factor of Numerators i.e. GCF of 647,489,646 is 1 .

LCM of Denominators means LCM of 220,980,401 as per the given fractions.

LCM of 220,980,401 is 4322780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 647,489,646

GCF of Fractions 647/220,489/980,646/401 is 1/4322780

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

Greatest Common Factor of 647,489,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,489,646 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 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 647,489,646 . The biggest common factor number is the GCF number.
So the greatest common factor 647,489,646 is 1.

Lets's calculate LCM of 220,980,401

2 220, 980, 401
2 110, 490, 401
5 55, 245, 401
11, 49, 401

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 49 x 401 = 4322780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4322780

Therefore, the GCF of Fractions 647/220,489/980,646/401 is 1/4322780

Least Common Multiple of 220,980,401 with GCF Formula

Least Common Multiple of 220,980,401 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 220,980,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,980,401) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(220,980,401) x common factors =1 x 20 = 20

LCM(220,980,401) = ( 220 × 980 × 401 ) / 20

LCM(220,980,401) = 86455600 / 20

LCM(220,980,401) = 4322780


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 647/220, 489/980, 646/401

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 647/220, 489/980, 646/401?

Answer: GCF of Numerators as per given numbers 647/220, 489/980, 646/401 is

GCF of Numerators i.e. for 647,489,646 is 1

LCM of denominators i.e. for 220,980,401 is 4322780.

Thus, GCF of Fractions is 1/4322780.Finally, GCF of Fractions for 647/220, 489/980, 646/401 is 1/4322780.