Greatest Common Factor of 3168/68, 1356/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3168/68, 1356/770

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 3168/68,1356/770

Given fractions are 3168/68,1356/770

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 3168,1356

Greatest Common Factor of Numerators i.e. GCF of 3168,1356 is 12 .

LCM of Denominators means LCM of 68,770 as per the given fractions.

LCM of 68,770 is 26180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3168,1356

GCF of Fractions 3168/68,1356/770 is 12/26180

2 3168, 1356
2 1584, 678
3 792, 339
264, 113

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 3168,1356 By Matching Biggest Common Factor Method

Greatest Common Factor of 3168,1356 By Matching Biggest Common Factor Method

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168

Factors of 1356

List of positive integer factors of 1356 that divides 1356 without a remainder.

1,2,3,4,6,12,113,226,339,452,678,1356

Greatest Common Factor

We found the factors 3168,1356 . The biggest common factor number is the GCF number.
So the greatest common factor 3168,1356 is 12.

Lets's calculate LCM of 68,770

2 68, 770
34, 385

∴ So the LCM of the given numbers is 2 x 34 x 385 = 26180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/26180

Therefore, the GCF of Fractions 3168/68,1356/770 is 12/26180

Least Common Multiple of 68,770 with GCF Formula

Least Common Multiple of 68,770 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 68,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,770) = 2

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

GCF(68,770) x common factors =2 x 1 = 2

LCM(68,770) = ( 68 × 770 ) / 2

LCM(68,770) = 52360 / 2

LCM(68,770) = 26180


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 3168/68, 1356/770

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 3168/68, 1356/770?

Answer: GCF of Numerators as per given numbers 3168/68, 1356/770 is

GCF of Numerators i.e. for 3168,1356 is 12

LCM of denominators i.e. for 68,770 is 26180.

Thus, GCF of Fractions is 12/26180.Finally, GCF of Fractions for 3168/68, 1356/770 is 12/26180.