Greatest Common Factor of 3312/820, 9072/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3312/820, 9072/439

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 3312/820,9072/439

Given fractions are 3312/820,9072/439

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 3312,9072

Greatest Common Factor of Numerators i.e. GCF of 3312,9072 is 144 .

LCM of Denominators means LCM of 820,439 as per the given fractions.

LCM of 820,439 is 359980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3312,9072

GCF of Fractions 3312/820,9072/439 is 144/359980

2 3312, 9072
2 1656, 4536
2 828, 2268
2 414, 1134
3 207, 567
3 69, 189
23, 63

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 = 144

Greatest Common Factor of 3312,9072 By Matching Biggest Common Factor Method

Greatest Common Factor of 3312,9072 By Matching Biggest Common Factor Method

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072

Greatest Common Factor

We found the factors 3312,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 3312,9072 is 144.

Lets's calculate LCM of 820,439

Given numbers has no common factors except 1. So, there LCM is their product i.e 359980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 144/359980

Therefore, the GCF of Fractions 3312/820,9072/439 is 144/359980

Least Common Multiple of 820,439 with GCF Formula

Least Common Multiple of 820,439 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 820,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,439) = 1

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

GCF(820,439) x common factors =1 x 1 = 1

LCM(820,439) = ( 820 × 439 ) / 1

LCM(820,439) = 359980 / 1

LCM(820,439) = 359980


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 3312/820, 9072/439

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 3312/820, 9072/439?

Answer: GCF of Numerators as per given numbers 3312/820, 9072/439 is

GCF of Numerators i.e. for 3312,9072 is 144

LCM of denominators i.e. for 820,439 is 359980.

Thus, GCF of Fractions is 144/359980.Finally, GCF of Fractions for 3312/820, 9072/439 is 144/359980.