Greatest Common Factor of 670/39, 174/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/39, 174/584

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 670/39,174/584

Given fractions are 670/39,174/584

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 670,174

Greatest Common Factor of Numerators i.e. GCF of 670,174 is 2 .

LCM of Denominators means LCM of 39,584 as per the given fractions.

LCM of 39,584 is 22776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,174

GCF of Fractions 670/39,174/584 is 2/22776

2 670, 174
335, 87

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 670,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,174 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 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 670,174 . The biggest common factor number is the GCF number.
So the greatest common factor 670,174 is 2.

Lets's calculate LCM of 39,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 22776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22776

Therefore, the GCF of Fractions 670/39,174/584 is 2/22776

Least Common Multiple of 39,584 with GCF Formula

Least Common Multiple of 39,584 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 39,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,584) = 1

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

GCF(39,584) x common factors =1 x 1 = 1

LCM(39,584) = ( 39 × 584 ) / 1

LCM(39,584) = 22776 / 1

LCM(39,584) = 22776


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 670/39, 174/584

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 670/39, 174/584?

Answer: GCF of Numerators as per given numbers 670/39, 174/584 is

GCF of Numerators i.e. for 670,174 is 2

LCM of denominators i.e. for 39,584 is 22776.

Thus, GCF of Fractions is 2/22776.Finally, GCF of Fractions for 670/39, 174/584 is 2/22776.