Greatest Common Factor of 647/40, 175/68, 698/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 647/40, 175/68, 698/243

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 647/40,175/68,698/243

Given fractions are 647/40,175/68,698/243

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 647,175,698

Greatest Common Factor of Numerators i.e. GCF of 647,175,698 is 1 .

LCM of Denominators means LCM of 40,68,243 as per the given fractions.

LCM of 40,68,243 is 165240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 647,175,698

GCF of Fractions 647/40,175/68,698/243 is 1/165240

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

Greatest Common Factor of 647,175,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,175,698 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 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 647,175,698 . The biggest common factor number is the GCF number.
So the greatest common factor 647,175,698 is 1.

Lets's calculate LCM of 40,68,243

2 40, 68, 243
2 20, 34, 243
10, 17, 243

∴ So the LCM of the given numbers is 2 x 2 x 10 x 17 x 243 = 165240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165240

Therefore, the GCF of Fractions 647/40,175/68,698/243 is 1/165240

Least Common Multiple of 40,68,243 with GCF Formula

Least Common Multiple of 40,68,243 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 40,68,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,68,243) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,68,243) x common factors =1 x 4 = 4

LCM(40,68,243) = ( 40 × 68 × 243 ) / 4

LCM(40,68,243) = 660960 / 4

LCM(40,68,243) = 165240


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 647/40, 175/68, 698/243

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 647/40, 175/68, 698/243?

Answer: GCF of Numerators as per given numbers 647/40, 175/68, 698/243 is

GCF of Numerators i.e. for 647,175,698 is 1

LCM of denominators i.e. for 40,68,243 is 165240.

Thus, GCF of Fractions is 1/165240.Finally, GCF of Fractions for 647/40, 175/68, 698/243 is 1/165240.