Greatest Common Factor of 2276/220, 9580/3361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2276/220, 9580/3361

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 2276/220,9580/3361

Given fractions are 2276/220,9580/3361

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 2276,9580

Greatest Common Factor of Numerators i.e. GCF of 2276,9580 is 4 .

LCM of Denominators means LCM of 220,3361 as per the given fractions.

LCM of 220,3361 is 739420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2276,9580

GCF of Fractions 2276/220,9580/3361 is 4/739420

2 2276, 9580
2 1138, 4790
569, 2395

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2276,9580 By Matching Biggest Common Factor Method

Greatest Common Factor of 2276,9580 By Matching Biggest Common Factor Method

Factors of 2276

List of positive integer factors of 2276 that divides 2276 without a remainder.

1,2,4,569,1138,2276

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1,2,4,5,10,20,479,958,1916,2395,4790,9580

Greatest Common Factor

We found the factors 2276,9580 . The biggest common factor number is the GCF number.
So the greatest common factor 2276,9580 is 4.

Lets's calculate LCM of 220,3361

Given numbers has no common factors except 1. So, there LCM is their product i.e 739420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/739420

Therefore, the GCF of Fractions 2276/220,9580/3361 is 4/739420

Least Common Multiple of 220,3361 with GCF Formula

Least Common Multiple of 220,3361 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 220,3361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,3361) = 1

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

GCF(220,3361) x common factors =1 x 1 = 1

LCM(220,3361) = ( 220 × 3361 ) / 1

LCM(220,3361) = 739420 / 1

LCM(220,3361) = 739420


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 2276/220, 9580/3361

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 2276/220, 9580/3361?

Answer: GCF of Numerators as per given numbers 2276/220, 9580/3361 is

GCF of Numerators i.e. for 2276,9580 is 4

LCM of denominators i.e. for 220,3361 is 739420.

Thus, GCF of Fractions is 4/739420.Finally, GCF of Fractions for 2276/220, 9580/3361 is 4/739420.