Greatest Common Factor of 2734/27, 9040/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2734/27, 9040/211

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 2734/27,9040/211

Given fractions are 2734/27,9040/211

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 2734,9040

Greatest Common Factor of Numerators i.e. GCF of 2734,9040 is 2 .

LCM of Denominators means LCM of 27,211 as per the given fractions.

LCM of 27,211 is 5697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2734,9040

GCF of Fractions 2734/27,9040/211 is 2/5697

2 2734, 9040
1367, 4520

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

Greatest Common Factor of 2734,9040 By Matching Biggest Common Factor Method

Greatest Common Factor of 2734,9040 By Matching Biggest Common Factor Method

Factors of 2734

List of positive integer factors of 2734 that divides 2734 without a remainder.

1,2,1367,2734

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040

Greatest Common Factor

We found the factors 2734,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 2734,9040 is 2.

Lets's calculate LCM of 27,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 5697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5697

Therefore, the GCF of Fractions 2734/27,9040/211 is 2/5697

Least Common Multiple of 27,211 with GCF Formula

Least Common Multiple of 27,211 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 27,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,211) = 1

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

GCF(27,211) x common factors =1 x 1 = 1

LCM(27,211) = ( 27 × 211 ) / 1

LCM(27,211) = 5697 / 1

LCM(27,211) = 5697


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 2734/27, 9040/211

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 2734/27, 9040/211?

Answer: GCF of Numerators as per given numbers 2734/27, 9040/211 is

GCF of Numerators i.e. for 2734,9040 is 2

LCM of denominators i.e. for 27,211 is 5697.

Thus, GCF of Fractions is 2/5697.Finally, GCF of Fractions for 2734/27, 9040/211 is 2/5697.