How to Find GCF of 272/943, 520/479?

GCF of 272/943, 520/479

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 272/943, 520/479 i.e 8/451697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 272/943, 520/479.

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 272/943,520/479?

Given fractions are 272/943,520/479

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 272/943,520/479, numerators are 272,520

Denominators are 943,479

The GCF of 272,520 is 8 .

LCM of 943,479 is 451697.

The greatest common factor of 272/943,520/479 = [GCF of 272,520]/[LCM of 943,479]= 8/451697

Therefore, the GCF of 272/943,520/479 is 8/451697.

Greatest Common Factor of 272,520

To find the highest common factor of 272,520, we have to find the factors of both numbers and list the highest common factor.

The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The HCF of 272,520 is 8.

Lets's calculate GCF of 272,520

Greatest Common Factor (GCF) of 272,520 By Common Division

2	272, 520
2	136, 260
2	68, 130
	34, 65

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 272,520 By Matching Biggest Common Factor Method

Now, list down the factors of 272

1,2,4,8,16,17,34,68,136,272

Now, list down the factors of 520

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 272,520 . The biggest common factor number is the GCF number.
So the greatest common factor 272,520 is 8.

Lets's calculate LCM of 943,479

Lowest Common Multiple of 943,479 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 451697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/451697

Therefore, the GCF of Fractions 272/943,520/479 is 8/451697

Least Common Multiple of 943,479 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 943,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,479) = 1

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

GCF(943,479) x common factors =1 x 1 = 1

LCM(943,479) = ( 943 × 479 ) / 1

LCM(943,479) = 451697 / 1

LCM(943,479) = 451697

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 272/943, 520/479

1. What is the HCF of 272,520?

The HCF of 272,520 is 8

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 272/943, 520/479?

Answer: GCF of Numerators as per given numbers 272/943, 520/479 is

GCF of Numerators i.e. for 272,520 is 8

LCM of denominators i.e. for 943,479 is 451697.

Thus, GCF of Fractions is 8/451697.Finally, GCF of Fractions for 272/943, 520/479 is 8/451697.