Greatest Common Factor of 690/234, 716/998, 599/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/234, 716/998, 599/292

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 690/234,716/998,599/292

Given fractions are 690/234,716/998,599/292

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 690,716,599

Greatest Common Factor of Numerators i.e. GCF of 690,716,599 is 1 .

LCM of Denominators means LCM of 234,998,292 as per the given fractions.

LCM of 234,998,292 is 17047836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,716,599

GCF of Fractions 690/234,716/998,599/292 is 1/17047836

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

Greatest Common Factor of 690,716,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,716,599 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 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 690,716,599 . The biggest common factor number is the GCF number.
So the greatest common factor 690,716,599 is 1.

Lets's calculate LCM of 234,998,292

2 234, 998, 292
117, 499, 146

∴ So the LCM of the given numbers is 2 x 117 x 499 x 146 = 17047836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17047836

Therefore, the GCF of Fractions 690/234,716/998,599/292 is 1/17047836

Least Common Multiple of 234,998,292 with GCF Formula

Least Common Multiple of 234,998,292 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 234,998,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,998,292) = 2

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

GCF(234,998,292) x common factors =2 x 2 = 4

LCM(234,998,292) = ( 234 × 998 × 292 ) / 4

LCM(234,998,292) = 68191344 / 4

LCM(234,998,292) = 17047836


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 690/234, 716/998, 599/292

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 690/234, 716/998, 599/292?

Answer: GCF of Numerators as per given numbers 690/234, 716/998, 599/292 is

GCF of Numerators i.e. for 690,716,599 is 1

LCM of denominators i.e. for 234,998,292 is 17047836.

Thus, GCF of Fractions is 1/17047836.Finally, GCF of Fractions for 690/234, 716/998, 599/292 is 1/17047836.