Greatest Common Factor of 2001/70, 5469/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2001/70, 5469/665

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 2001/70,5469/665

Given fractions are 2001/70,5469/665

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 2001,5469

Greatest Common Factor of Numerators i.e. GCF of 2001,5469 is 3 .

LCM of Denominators means LCM of 70,665 as per the given fractions.

LCM of 70,665 is 1330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2001,5469

GCF of Fractions 2001/70,5469/665 is 3/1330

3 2001, 5469
667, 1823

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2001,5469 By Matching Biggest Common Factor Method

Greatest Common Factor of 2001,5469 By Matching Biggest Common Factor Method

Factors of 2001

List of positive integer factors of 2001 that divides 2001 without a remainder.

1,3,23,29,69,87,667,2001

Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1,3,1823,5469

Greatest Common Factor

We found the factors 2001,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 2001,5469 is 3.

Lets's calculate LCM of 70,665

5 70, 665
7 14, 133
2, 19

∴ So the LCM of the given numbers is 5 x 7 x 2 x 19 = 1330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1330

Therefore, the GCF of Fractions 2001/70,5469/665 is 3/1330

Least Common Multiple of 70,665 with GCF Formula

Least Common Multiple of 70,665 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 70,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,665) = 35

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

GCF(70,665) x common factors =35 x 1 = 35

LCM(70,665) = ( 70 × 665 ) / 35

LCM(70,665) = 46550 / 35

LCM(70,665) = 1330


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 2001/70, 5469/665

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 2001/70, 5469/665?

Answer: GCF of Numerators as per given numbers 2001/70, 5469/665 is

GCF of Numerators i.e. for 2001,5469 is 3

LCM of denominators i.e. for 70,665 is 1330.

Thus, GCF of Fractions is 3/1330.Finally, GCF of Fractions for 2001/70, 5469/665 is 3/1330.