How to Find GCF of 50/721, 53/909, 201/669?

GCF of 50/721, 53/909, 201/669

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 50/721, 53/909, 201/669 i.e 1/146151747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/721, 53/909, 201/669.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 50/721,53/909,201/669?

Given fractions are 50/721,53/909,201/669

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 50/721,53/909,201/669, numerators are 50,53,201

Denominators are 721,909,669

The GCF of 50,53,201 is 1 .

LCM of 721,909,669 is 146151747.

The greatest common factor of 50/721,53/909,201/669 = [GCF of 50,53,201]/[LCM of 721,909,669]= 1/146151747

Therefore, the GCF of 50/721,53/909,201/669 is 1/146151747.

Greatest Common Factor of 50,53,201

To find the highest common factor of 50,53,201, we have to find the factors of both numbers and list the highest common factor.

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 53 are 1, 53

The factors of 201 are 1, 3, 67, 201

The HCF of 50,53,201 is 1.

Lets's calculate GCF of 50,53,201

Greatest Common Factor (GCF) of 50,53,201 By Common Division

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

Greatest Common Factor of 50,53,201 By Matching Biggest Common Factor Method

Now, list down the factors of 50

1,2,5,10,25,50

Now, list down the factors of 53

1,53

Now, list down the factors of 201

1,3,67,201

Greatest Common Factor

We found the factors 50,53,201 . The biggest common factor number is the GCF number.
So the greatest common factor 50,53,201 is 1.

Lets's calculate LCM of 721,909,669

Lowest Common Multiple of 721,909,669 using Common Division

3	721, 909, 669
	721, 303, 223

∴ So the LCM of the given numbers is 3 x 721 x 303 x 223 = 146151747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146151747

Therefore, the GCF of Fractions 50/721,53/909,201/669 is 1/146151747

Least Common Multiple of 721,909,669 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 721,909,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,909,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(721,909,669) x common factors =1 x 3 = 3

LCM(721,909,669) = ( 721 × 909 × 669 ) / 3

LCM(721,909,669) = 438455241 / 3

LCM(721,909,669) = 146151747

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 50/721, 53/909, 201/669

1. What is the HCF of 50,53,201?

The HCF of 50,53,201 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 50/721, 53/909, 201/669?

Answer: GCF of Numerators as per given numbers 50/721, 53/909, 201/669 is

GCF of Numerators i.e. for 50,53,201 is 1

LCM of denominators i.e. for 721,909,669 is 146151747.

Thus, GCF of Fractions is 1/146151747.Finally, GCF of Fractions for 50/721, 53/909, 201/669 is 1/146151747.