Greatest Common Factor of 690/529, 838/166, 713/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/529, 838/166, 713/418

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 690/529,838/166,713/418

Given fractions are 690/529,838/166,713/418

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 690,838,713

Greatest Common Factor of Numerators i.e. GCF of 690,838,713 is 1 .

LCM of Denominators means LCM of 529,166,418 as per the given fractions.

LCM of 529,166,418 is 18353126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,838,713

GCF of Fractions 690/529,838/166,713/418 is 1/18353126

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

Greatest Common Factor of 690,838,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,838,713 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 690,838,713 . The biggest common factor number is the GCF number.
So the greatest common factor 690,838,713 is 1.

Lets's calculate LCM of 529,166,418

2 529, 166, 418
529, 83, 209

∴ So the LCM of the given numbers is 2 x 529 x 83 x 209 = 18353126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18353126

Therefore, the GCF of Fractions 690/529,838/166,713/418 is 1/18353126

Least Common Multiple of 529,166,418 with GCF Formula

Least Common Multiple of 529,166,418 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 529,166,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,166,418) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(529,166,418) x common factors =1 x 2 = 2

LCM(529,166,418) = ( 529 × 166 × 418 ) / 2

LCM(529,166,418) = 36706252 / 2

LCM(529,166,418) = 18353126


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 690/529, 838/166, 713/418

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 690/529, 838/166, 713/418?

Answer: GCF of Numerators as per given numbers 690/529, 838/166, 713/418 is

GCF of Numerators i.e. for 690,838,713 is 1

LCM of denominators i.e. for 529,166,418 is 18353126.

Thus, GCF of Fractions is 1/18353126.Finally, GCF of Fractions for 690/529, 838/166, 713/418 is 1/18353126.