Greatest Common Factor of 670/38, 215/9966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/38, 215/9966

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 670/38,215/9966

Given fractions are 670/38,215/9966

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 670,215

Greatest Common Factor of Numerators i.e. GCF of 670,215 is 5 .

LCM of Denominators means LCM of 38,9966 as per the given fractions.

LCM of 38,9966 is 189354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,215

GCF of Fractions 670/38,215/9966 is 5/189354

5 670, 215
134, 43

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 670,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,215 By Matching Biggest Common Factor Method

Factors of 670

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

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

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 670,215 . The biggest common factor number is the GCF number.
So the greatest common factor 670,215 is 5.

Lets's calculate LCM of 38,9966

2 38, 9966
19, 4983

∴ So the LCM of the given numbers is 2 x 19 x 4983 = 189354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/189354

Therefore, the GCF of Fractions 670/38,215/9966 is 5/189354

Least Common Multiple of 38,9966 with GCF Formula

Least Common Multiple of 38,9966 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 38,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,9966) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(38,9966) x common factors =2 x 1 = 2

LCM(38,9966) = ( 38 × 9966 ) / 2

LCM(38,9966) = 378708 / 2

LCM(38,9966) = 189354


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 670/38, 215/9966

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 670/38, 215/9966?

Answer: GCF of Numerators as per given numbers 670/38, 215/9966 is

GCF of Numerators i.e. for 670,215 is 5

LCM of denominators i.e. for 38,9966 is 189354.

Thus, GCF of Fractions is 5/189354.Finally, GCF of Fractions for 670/38, 215/9966 is 5/189354.