Greatest Common Factor of 7332/532, 8151/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7332/532, 8151/662

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 7332/532,8151/662

Given fractions are 7332/532,8151/662

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 7332,8151

Greatest Common Factor of Numerators i.e. GCF of 7332,8151 is 39 .

LCM of Denominators means LCM of 532,662 as per the given fractions.

LCM of 532,662 is 176092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7332,8151

GCF of Fractions 7332/532,8151/662 is 39/176092

3 7332, 8151
13 2444, 2717
188, 209

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 7332,8151 By Matching Biggest Common Factor Method

Greatest Common Factor of 7332,8151 By Matching Biggest Common Factor Method

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Factors of 8151

List of positive integer factors of 8151 that divides 8151 without a remainder.

1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151

Greatest Common Factor

We found the factors 7332,8151 . The biggest common factor number is the GCF number.
So the greatest common factor 7332,8151 is 39.

Lets's calculate LCM of 532,662

2 532, 662
266, 331

∴ So the LCM of the given numbers is 2 x 266 x 331 = 176092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/176092

Therefore, the GCF of Fractions 7332/532,8151/662 is 39/176092

Least Common Multiple of 532,662 with GCF Formula

Least Common Multiple of 532,662 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 532,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,662) = 2

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

GCF(532,662) x common factors =2 x 1 = 2

LCM(532,662) = ( 532 × 662 ) / 2

LCM(532,662) = 352184 / 2

LCM(532,662) = 176092


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 7332/532, 8151/662

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 7332/532, 8151/662?

Answer: GCF of Numerators as per given numbers 7332/532, 8151/662 is

GCF of Numerators i.e. for 7332,8151 is 39

LCM of denominators i.e. for 532,662 is 176092.

Thus, GCF of Fractions is 39/176092.Finally, GCF of Fractions for 7332/532, 8151/662 is 39/176092.