Greatest Common Factor of 2733/86, 1070/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2733/86, 1070/660

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 2733/86,1070/660

Given fractions are 2733/86,1070/660

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 2733,1070

Greatest Common Factor of Numerators i.e. GCF of 2733,1070 is 1 .

LCM of Denominators means LCM of 86,660 as per the given fractions.

LCM of 86,660 is 28380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2733,1070

GCF of Fractions 2733/86,1070/660 is 1/28380

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

Greatest Common Factor of 2733,1070 By Matching Biggest Common Factor Method

Greatest Common Factor of 2733,1070 By Matching Biggest Common Factor Method

Factors of 2733

List of positive integer factors of 2733 that divides 2733 without a remainder.

1,3,911,2733

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 2733,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 2733,1070 is 1.

Lets's calculate LCM of 86,660

2 86, 660
43, 330

∴ So the LCM of the given numbers is 2 x 43 x 330 = 28380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28380

Therefore, the GCF of Fractions 2733/86,1070/660 is 1/28380

Least Common Multiple of 86,660 with GCF Formula

Least Common Multiple of 86,660 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 86,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,660) = 2

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

GCF(86,660) x common factors =2 x 1 = 2

LCM(86,660) = ( 86 × 660 ) / 2

LCM(86,660) = 56760 / 2

LCM(86,660) = 28380


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 2733/86, 1070/660

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 2733/86, 1070/660?

Answer: GCF of Numerators as per given numbers 2733/86, 1070/660 is

GCF of Numerators i.e. for 2733,1070 is 1

LCM of denominators i.e. for 86,660 is 28380.

Thus, GCF of Fractions is 1/28380.Finally, GCF of Fractions for 2733/86, 1070/660 is 1/28380.