Greatest Common Factor of 1353/867, 8352/1472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1353/867, 8352/1472

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 1353/867,8352/1472

Given fractions are 1353/867,8352/1472

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 1353,8352

Greatest Common Factor of Numerators i.e. GCF of 1353,8352 is 3 .

LCM of Denominators means LCM of 867,1472 as per the given fractions.

LCM of 867,1472 is 1276224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1353,8352

GCF of Fractions 1353/867,8352/1472 is 3/1276224

3 1353, 8352
451, 2784

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1353,8352 By Matching Biggest Common Factor Method

Greatest Common Factor of 1353,8352 By Matching Biggest Common Factor Method

Factors of 1353

List of positive integer factors of 1353 that divides 1353 without a remainder.

1,3,11,33,41,123,451,1353

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352

Greatest Common Factor

We found the factors 1353,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 1353,8352 is 3.

Lets's calculate LCM of 867,1472

Given numbers has no common factors except 1. So, there LCM is their product i.e 1276224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1276224

Therefore, the GCF of Fractions 1353/867,8352/1472 is 3/1276224

Least Common Multiple of 867,1472 with GCF Formula

Least Common Multiple of 867,1472 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 867,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,1472) = 1

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

GCF(867,1472) x common factors =1 x 1 = 1

LCM(867,1472) = ( 867 × 1472 ) / 1

LCM(867,1472) = 1276224 / 1

LCM(867,1472) = 1276224


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 1353/867, 8352/1472

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 1353/867, 8352/1472?

Answer: GCF of Numerators as per given numbers 1353/867, 8352/1472 is

GCF of Numerators i.e. for 1353,8352 is 3

LCM of denominators i.e. for 867,1472 is 1276224.

Thus, GCF of Fractions is 3/1276224.Finally, GCF of Fractions for 1353/867, 8352/1472 is 3/1276224.