Greatest Common Factor of 681/595, 529/418, 705/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/595, 529/418, 705/205

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 681/595,529/418,705/205

Given fractions are 681/595,529/418,705/205

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 681,529,705

Greatest Common Factor of Numerators i.e. GCF of 681,529,705 is 1 .

LCM of Denominators means LCM of 595,418,205 as per the given fractions.

LCM of 595,418,205 is 10197110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,529,705

GCF of Fractions 681/595,529/418,705/205 is 1/10197110

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

Greatest Common Factor of 681,529,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,529,705 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 681,529,705 . The biggest common factor number is the GCF number.
So the greatest common factor 681,529,705 is 1.

Lets's calculate LCM of 595,418,205

5 595, 418, 205
119, 418, 41

∴ So the LCM of the given numbers is 5 x 119 x 418 x 41 = 10197110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10197110

Therefore, the GCF of Fractions 681/595,529/418,705/205 is 1/10197110

Least Common Multiple of 595,418,205 with GCF Formula

Least Common Multiple of 595,418,205 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 595,418,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,418,205) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(595,418,205) x common factors =1 x 5 = 5

LCM(595,418,205) = ( 595 × 418 × 205 ) / 5

LCM(595,418,205) = 50985550 / 5

LCM(595,418,205) = 10197110


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 681/595, 529/418, 705/205

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 681/595, 529/418, 705/205?

Answer: GCF of Numerators as per given numbers 681/595, 529/418, 705/205 is

GCF of Numerators i.e. for 681,529,705 is 1

LCM of denominators i.e. for 595,418,205 is 10197110.

Thus, GCF of Fractions is 1/10197110.Finally, GCF of Fractions for 681/595, 529/418, 705/205 is 1/10197110.