Greatest Common Factor of 1702/12, 6096/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1702/12, 6096/960

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 1702/12,6096/960

Given fractions are 1702/12,6096/960

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 1702,6096

Greatest Common Factor of Numerators i.e. GCF of 1702,6096 is 2 .

LCM of Denominators means LCM of 12,960 as per the given fractions.

LCM of 12,960 is 960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1702,6096

GCF of Fractions 1702/12,6096/960 is 2/960

2 1702, 6096
851, 3048

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

Greatest Common Factor of 1702,6096 By Matching Biggest Common Factor Method

Greatest Common Factor of 1702,6096 By Matching Biggest Common Factor Method

Factors of 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1,2,23,37,46,74,851,1702

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096

Greatest Common Factor

We found the factors 1702,6096 . The biggest common factor number is the GCF number.
So the greatest common factor 1702,6096 is 2.

Lets's calculate LCM of 12,960

2 12, 960
2 6, 480
3 3, 240
1, 80

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 80 = 960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/960

Therefore, the GCF of Fractions 1702/12,6096/960 is 2/960

Least Common Multiple of 12,960 with GCF Formula

Least Common Multiple of 12,960 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 12,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,960) = 12

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

GCF(12,960) x common factors =12 x 1 = 12

LCM(12,960) = ( 12 × 960 ) / 12

LCM(12,960) = 11520 / 12

LCM(12,960) = 960


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 1702/12, 6096/960

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 1702/12, 6096/960?

Answer: GCF of Numerators as per given numbers 1702/12, 6096/960 is

GCF of Numerators i.e. for 1702,6096 is 2

LCM of denominators i.e. for 12,960 is 960.

Thus, GCF of Fractions is 2/960.Finally, GCF of Fractions for 1702/12, 6096/960 is 2/960.