Greatest Common Factor of 1969/73, 1001/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1969/73, 1001/626

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 1969/73,1001/626

Given fractions are 1969/73,1001/626

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 1969,1001

Greatest Common Factor of Numerators i.e. GCF of 1969,1001 is 11 .

LCM of Denominators means LCM of 73,626 as per the given fractions.

LCM of 73,626 is 45698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1969,1001

GCF of Fractions 1969/73,1001/626 is 11/45698

11 1969, 1001
179, 91

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1969,1001 By Matching Biggest Common Factor Method

Greatest Common Factor of 1969,1001 By Matching Biggest Common Factor Method

Factors of 1969

List of positive integer factors of 1969 that divides 1969 without a remainder.

1,11,179,1969

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1,7,11,13,77,91,143,1001

Greatest Common Factor

We found the factors 1969,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 1969,1001 is 11.

Lets's calculate LCM of 73,626

Given numbers has no common factors except 1. So, there LCM is their product i.e 45698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/45698

Therefore, the GCF of Fractions 1969/73,1001/626 is 11/45698

Least Common Multiple of 73,626 with GCF Formula

Least Common Multiple of 73,626 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 73,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,626) = 1

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

GCF(73,626) x common factors =1 x 1 = 1

LCM(73,626) = ( 73 × 626 ) / 1

LCM(73,626) = 45698 / 1

LCM(73,626) = 45698


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 1969/73, 1001/626

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 1969/73, 1001/626?

Answer: GCF of Numerators as per given numbers 1969/73, 1001/626 is

GCF of Numerators i.e. for 1969,1001 is 11

LCM of denominators i.e. for 73,626 is 45698.

Thus, GCF of Fractions is 11/45698.Finally, GCF of Fractions for 1969/73, 1001/626 is 11/45698.