Greatest Common Factor of 1392/168, 9772/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1392/168, 9772/219

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 1392/168,9772/219

Given fractions are 1392/168,9772/219

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 1392,9772

Greatest Common Factor of Numerators i.e. GCF of 1392,9772 is 4 .

LCM of Denominators means LCM of 168,219 as per the given fractions.

LCM of 168,219 is 12264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1392,9772

GCF of Fractions 1392/168,9772/219 is 4/12264

2 1392, 9772
2 696, 4886
348, 2443

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

Greatest Common Factor of 1392,9772 By Matching Biggest Common Factor Method

Greatest Common Factor of 1392,9772 By Matching Biggest Common Factor Method

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors 1392,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 1392,9772 is 4.

Lets's calculate LCM of 168,219

3 168, 219
56, 73

∴ So the LCM of the given numbers is 3 x 56 x 73 = 12264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12264

Therefore, the GCF of Fractions 1392/168,9772/219 is 4/12264

Least Common Multiple of 168,219 with GCF Formula

Least Common Multiple of 168,219 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 168,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,219) = 3

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

GCF(168,219) x common factors =3 x 1 = 3

LCM(168,219) = ( 168 × 219 ) / 3

LCM(168,219) = 36792 / 3

LCM(168,219) = 12264


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 1392/168, 9772/219

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 1392/168, 9772/219?

Answer: GCF of Numerators as per given numbers 1392/168, 9772/219 is

GCF of Numerators i.e. for 1392,9772 is 4

LCM of denominators i.e. for 168,219 is 12264.

Thus, GCF of Fractions is 4/12264.Finally, GCF of Fractions for 1392/168, 9772/219 is 4/12264.