Greatest Common Factor of 670/51, 469/3369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/51, 469/3369

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 670/51,469/3369

Given fractions are 670/51,469/3369

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 670,469

Greatest Common Factor of Numerators i.e. GCF of 670,469 is 67 .

LCM of Denominators means LCM of 51,3369 as per the given fractions.

LCM of 51,3369 is 57273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,469

GCF of Fractions 670/51,469/3369 is 67/57273

67 670, 469
10, 7

∴ So the GCF of the given numbers is 67 = 67

Greatest Common Factor of 670,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,469 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 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 670,469 . The biggest common factor number is the GCF number.
So the greatest common factor 670,469 is 67.

Lets's calculate LCM of 51,3369

3 51, 3369
17, 1123

∴ So the LCM of the given numbers is 3 x 17 x 1123 = 57273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/57273

Therefore, the GCF of Fractions 670/51,469/3369 is 67/57273

Least Common Multiple of 51,3369 with GCF Formula

Least Common Multiple of 51,3369 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 51,3369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,3369) = 3

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

GCF(51,3369) x common factors =3 x 1 = 3

LCM(51,3369) = ( 51 × 3369 ) / 3

LCM(51,3369) = 171819 / 3

LCM(51,3369) = 57273


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 670/51, 469/3369

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 670/51, 469/3369?

Answer: GCF of Numerators as per given numbers 670/51, 469/3369 is

GCF of Numerators i.e. for 670,469 is 67

LCM of denominators i.e. for 51,3369 is 57273.

Thus, GCF of Fractions is 67/57273.Finally, GCF of Fractions for 670/51, 469/3369 is 67/57273.