Greatest Common Factor of 199/42, 789/50, 670/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 199/42, 789/50, 670/690

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 199/42,789/50,670/690

Given fractions are 199/42,789/50,670/690

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 199,789,670

Greatest Common Factor of Numerators i.e. GCF of 199,789,670 is 1 .

LCM of Denominators means LCM of 42,50,690 as per the given fractions.

LCM of 42,50,690 is 24150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 199,789,670

GCF of Fractions 199/42,789/50,670/690 is 1/24150

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

Greatest Common Factor of 199,789,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,789,670 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 199,789,670 . The biggest common factor number is the GCF number.
So the greatest common factor 199,789,670 is 1.

Lets's calculate LCM of 42,50,690

2 42, 50, 690
3 21, 25, 345
5 7, 25, 115
7, 5, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 5 x 23 = 24150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24150

Therefore, the GCF of Fractions 199/42,789/50,670/690 is 1/24150

Least Common Multiple of 42,50,690 with GCF Formula

Least Common Multiple of 42,50,690 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 42,50,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,50,690) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(42,50,690) x common factors =2 x 30 = 60

LCM(42,50,690) = ( 42 × 50 × 690 ) / 60

LCM(42,50,690) = 1449000 / 60

LCM(42,50,690) = 24150


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 199/42, 789/50, 670/690

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 199/42, 789/50, 670/690?

Answer: GCF of Numerators as per given numbers 199/42, 789/50, 670/690 is

GCF of Numerators i.e. for 199,789,670 is 1

LCM of denominators i.e. for 42,50,690 is 24150.

Thus, GCF of Fractions is 1/24150.Finally, GCF of Fractions for 199/42, 789/50, 670/690 is 1/24150.