Greatest Common Factor of 194/70, 690/15, 569/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/70, 690/15, 569/311

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 194/70,690/15,569/311

Given fractions are 194/70,690/15,569/311

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 194,690,569

Greatest Common Factor of Numerators i.e. GCF of 194,690,569 is 1 .

LCM of Denominators means LCM of 70,15,311 as per the given fractions.

LCM of 70,15,311 is 65310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,690,569

GCF of Fractions 194/70,690/15,569/311 is 1/65310

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

Greatest Common Factor of 194,690,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,690,569 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

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 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 194,690,569 . The biggest common factor number is the GCF number.
So the greatest common factor 194,690,569 is 1.

Lets's calculate LCM of 70,15,311

5 70, 15, 311
14, 3, 311

∴ So the LCM of the given numbers is 5 x 14 x 3 x 311 = 65310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65310

Therefore, the GCF of Fractions 194/70,690/15,569/311 is 1/65310

Least Common Multiple of 70,15,311 with GCF Formula

Least Common Multiple of 70,15,311 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 70,15,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,15,311) = 1

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

GCF(70,15,311) x common factors =1 x 5 = 5

LCM(70,15,311) = ( 70 × 15 × 311 ) / 5

LCM(70,15,311) = 326550 / 5

LCM(70,15,311) = 65310


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 194/70, 690/15, 569/311

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 194/70, 690/15, 569/311?

Answer: GCF of Numerators as per given numbers 194/70, 690/15, 569/311 is

GCF of Numerators i.e. for 194,690,569 is 1

LCM of denominators i.e. for 70,15,311 is 65310.

Thus, GCF of Fractions is 1/65310.Finally, GCF of Fractions for 194/70, 690/15, 569/311 is 1/65310.