Greatest Common Factor of 670/33, 580/9474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/33, 580/9474

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 670/33,580/9474

Given fractions are 670/33,580/9474

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 670,580

Greatest Common Factor of Numerators i.e. GCF of 670,580 is 10 .

LCM of Denominators means LCM of 33,9474 as per the given fractions.

LCM of 33,9474 is 104214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,580

GCF of Fractions 670/33,580/9474 is 10/104214

2 670, 580
5 335, 290
67, 58

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 670,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,580 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 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 670,580 . The biggest common factor number is the GCF number.
So the greatest common factor 670,580 is 10.

Lets's calculate LCM of 33,9474

3 33, 9474
11, 3158

∴ So the LCM of the given numbers is 3 x 11 x 3158 = 104214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/104214

Therefore, the GCF of Fractions 670/33,580/9474 is 10/104214

Least Common Multiple of 33,9474 with GCF Formula

Least Common Multiple of 33,9474 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 33,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,9474) = 3

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

GCF(33,9474) x common factors =3 x 1 = 3

LCM(33,9474) = ( 33 × 9474 ) / 3

LCM(33,9474) = 312642 / 3

LCM(33,9474) = 104214


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 670/33, 580/9474

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 670/33, 580/9474?

Answer: GCF of Numerators as per given numbers 670/33, 580/9474 is

GCF of Numerators i.e. for 670,580 is 10

LCM of denominators i.e. for 33,9474 is 104214.

Thus, GCF of Fractions is 10/104214.Finally, GCF of Fractions for 670/33, 580/9474 is 10/104214.