Greatest Common Factor of 672/65, 396/51, 340/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/65, 396/51, 340/33

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 672/65,396/51,340/33

Given fractions are 672/65,396/51,340/33

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 672,396,340

Greatest Common Factor of Numerators i.e. GCF of 672,396,340 is 4 .

LCM of Denominators means LCM of 65,51,33 as per the given fractions.

LCM of 65,51,33 is 36465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,396,340

GCF of Fractions 672/65,396/51,340/33 is 4/36465

2 672, 396, 340
2 336, 198, 170
168, 99, 85

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 672,396,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,396,340 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 672,396,340 . The biggest common factor number is the GCF number.
So the greatest common factor 672,396,340 is 4.

Lets's calculate LCM of 65,51,33

3 65, 51, 33
65, 17, 11

∴ So the LCM of the given numbers is 3 x 65 x 17 x 11 = 36465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/36465

Therefore, the GCF of Fractions 672/65,396/51,340/33 is 4/36465

Least Common Multiple of 65,51,33 with GCF Formula

Least Common Multiple of 65,51,33 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 65,51,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,51,33) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(65,51,33) x common factors =1 x 3 = 3

LCM(65,51,33) = ( 65 × 51 × 33 ) / 3

LCM(65,51,33) = 109395 / 3

LCM(65,51,33) = 36465


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 672/65, 396/51, 340/33

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 672/65, 396/51, 340/33?

Answer: GCF of Numerators as per given numbers 672/65, 396/51, 340/33 is

GCF of Numerators i.e. for 672,396,340 is 4

LCM of denominators i.e. for 65,51,33 is 36465.

Thus, GCF of Fractions is 4/36465.Finally, GCF of Fractions for 672/65, 396/51, 340/33 is 4/36465.