Greatest Common Factor of 2210/80, 2784/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2210/80, 2784/361

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 2210/80,2784/361

Given fractions are 2210/80,2784/361

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 2210,2784

Greatest Common Factor of Numerators i.e. GCF of 2210,2784 is 2 .

LCM of Denominators means LCM of 80,361 as per the given fractions.

LCM of 80,361 is 28880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2210,2784

GCF of Fractions 2210/80,2784/361 is 2/28880

2 2210, 2784
1105, 1392

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

Greatest Common Factor of 2210,2784 By Matching Biggest Common Factor Method

Greatest Common Factor of 2210,2784 By Matching Biggest Common Factor Method

Factors of 2210

List of positive integer factors of 2210 that divides 2210 without a remainder.

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Factors of 2784

List of positive integer factors of 2784 that divides 2784 without a remainder.

1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784

Greatest Common Factor

We found the factors 2210,2784 . The biggest common factor number is the GCF number.
So the greatest common factor 2210,2784 is 2.

Lets's calculate LCM of 80,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 28880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28880

Therefore, the GCF of Fractions 2210/80,2784/361 is 2/28880

Least Common Multiple of 80,361 with GCF Formula

Least Common Multiple of 80,361 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 80,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,361) = 1

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

GCF(80,361) x common factors =1 x 1 = 1

LCM(80,361) = ( 80 × 361 ) / 1

LCM(80,361) = 28880 / 1

LCM(80,361) = 28880


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 2210/80, 2784/361

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 2210/80, 2784/361?

Answer: GCF of Numerators as per given numbers 2210/80, 2784/361 is

GCF of Numerators i.e. for 2210,2784 is 2

LCM of denominators i.e. for 80,361 is 28880.

Thus, GCF of Fractions is 2/28880.Finally, GCF of Fractions for 2210/80, 2784/361 is 2/28880.