Greatest Common Factor of 2761/33, 1730/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2761/33, 1730/668

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 2761/33,1730/668

Given fractions are 2761/33,1730/668

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 2761,1730

Greatest Common Factor of Numerators i.e. GCF of 2761,1730 is 1 .

LCM of Denominators means LCM of 33,668 as per the given fractions.

LCM of 33,668 is 22044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2761,1730

GCF of Fractions 2761/33,1730/668 is 1/22044

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2761,1730 By Matching Biggest Common Factor Method

Greatest Common Factor of 2761,1730 By Matching Biggest Common Factor Method

Factors of 2761

List of positive integer factors of 2761 that divides 2761 without a remainder.

1,11,251,2761

Factors of 1730

List of positive integer factors of 1730 that divides 1730 without a remainder.

1,2,5,10,173,346,865,1730

Greatest Common Factor

We found the factors 2761,1730 . The biggest common factor number is the GCF number.
So the greatest common factor 2761,1730 is 1.

Lets's calculate LCM of 33,668

Given numbers has no common factors except 1. So, there LCM is their product i.e 22044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22044

Therefore, the GCF of Fractions 2761/33,1730/668 is 1/22044

Least Common Multiple of 33,668 with GCF Formula

Least Common Multiple of 33,668 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 33,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,668) = 1

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

GCF(33,668) x common factors =1 x 1 = 1

LCM(33,668) = ( 33 × 668 ) / 1

LCM(33,668) = 22044 / 1

LCM(33,668) = 22044


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 2761/33, 1730/668

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 2761/33, 1730/668?

Answer: GCF of Numerators as per given numbers 2761/33, 1730/668 is

GCF of Numerators i.e. for 2761,1730 is 1

LCM of denominators i.e. for 33,668 is 22044.

Thus, GCF of Fractions is 1/22044.Finally, GCF of Fractions for 2761/33, 1730/668 is 1/22044.