Greatest Common Factor of 1192/854, 2216/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1192/854, 2216/352

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 1192/854,2216/352

Given fractions are 1192/854,2216/352

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 1192,2216

Greatest Common Factor of Numerators i.e. GCF of 1192,2216 is 8 .

LCM of Denominators means LCM of 854,352 as per the given fractions.

LCM of 854,352 is 150304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1192,2216

GCF of Fractions 1192/854,2216/352 is 8/150304

2 1192, 2216
2 596, 1108
2 298, 554
149, 277

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1192,2216 By Matching Biggest Common Factor Method

Greatest Common Factor of 1192,2216 By Matching Biggest Common Factor Method

Factors of 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1,2,4,8,149,298,596,1192

Factors of 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1,2,4,8,277,554,1108,2216

Greatest Common Factor

We found the factors 1192,2216 . The biggest common factor number is the GCF number.
So the greatest common factor 1192,2216 is 8.

Lets's calculate LCM of 854,352

2 854, 352
427, 176

∴ So the LCM of the given numbers is 2 x 427 x 176 = 150304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/150304

Therefore, the GCF of Fractions 1192/854,2216/352 is 8/150304

Least Common Multiple of 854,352 with GCF Formula

Least Common Multiple of 854,352 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 854,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,352) = 2

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

GCF(854,352) x common factors =2 x 1 = 2

LCM(854,352) = ( 854 × 352 ) / 2

LCM(854,352) = 300608 / 2

LCM(854,352) = 150304


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 1192/854, 2216/352

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 1192/854, 2216/352?

Answer: GCF of Numerators as per given numbers 1192/854, 2216/352 is

GCF of Numerators i.e. for 1192,2216 is 8

LCM of denominators i.e. for 854,352 is 150304.

Thus, GCF of Fractions is 8/150304.Finally, GCF of Fractions for 1192/854, 2216/352 is 8/150304.