Greatest Common Factor of 3273/70, 5580/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3273/70, 5580/320

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 3273/70,5580/320

Given fractions are 3273/70,5580/320

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 3273,5580

Greatest Common Factor of Numerators i.e. GCF of 3273,5580 is 3 .

LCM of Denominators means LCM of 70,320 as per the given fractions.

LCM of 70,320 is 2240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3273,5580

GCF of Fractions 3273/70,5580/320 is 3/2240

3 3273, 5580
1091, 1860

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

Greatest Common Factor of 3273,5580 By Matching Biggest Common Factor Method

Greatest Common Factor of 3273,5580 By Matching Biggest Common Factor Method

Factors of 3273

List of positive integer factors of 3273 that divides 3273 without a remainder.

1,3,1091,3273

Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580

Greatest Common Factor

We found the factors 3273,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 3273,5580 is 3.

Lets's calculate LCM of 70,320

2 70, 320
5 35, 160
7, 32

∴ So the LCM of the given numbers is 2 x 5 x 7 x 32 = 2240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2240

Therefore, the GCF of Fractions 3273/70,5580/320 is 3/2240

Least Common Multiple of 70,320 with GCF Formula

Least Common Multiple of 70,320 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 70,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,320) = 10

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

GCF(70,320) x common factors =10 x 1 = 10

LCM(70,320) = ( 70 × 320 ) / 10

LCM(70,320) = 22400 / 10

LCM(70,320) = 2240


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 3273/70, 5580/320

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 3273/70, 5580/320?

Answer: GCF of Numerators as per given numbers 3273/70, 5580/320 is

GCF of Numerators i.e. for 3273,5580 is 3

LCM of denominators i.e. for 70,320 is 2240.

Thus, GCF of Fractions is 3/2240.Finally, GCF of Fractions for 3273/70, 5580/320 is 3/2240.