How to Find GCF of 11/47, 28/22, 560/443?

GCF of 11/47, 28/22, 560/443

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 11/47, 28/22, 560/443 i.e 1/458062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/47, 28/22, 560/443.

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 11/47,28/22,560/443?

Given fractions are 11/47,28/22,560/443

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 11/47,28/22,560/443, numerators are 11,28,560

Denominators are 47,22,443

The GCF of 11,28,560 is 1 .

LCM of 47,22,443 is 458062.

The greatest common factor of 11/47,28/22,560/443 = [GCF of 11,28,560]/[LCM of 47,22,443]= 1/458062

Therefore, the GCF of 11/47,28/22,560/443 is 1/458062.

Greatest Common Factor of 11,28,560

To find the highest common factor of 11,28,560, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

The HCF of 11,28,560 is 1.

Lets's calculate GCF of 11,28,560

Greatest Common Factor (GCF) of 11,28,560 By Common Division

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

Greatest Common Factor of 11,28,560 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 560

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 11,28,560 . The biggest common factor number is the GCF number.
So the greatest common factor 11,28,560 is 1.

Lets's calculate LCM of 47,22,443

Lowest Common Multiple of 47,22,443 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 458062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/458062

Therefore, the GCF of Fractions 11/47,28/22,560/443 is 1/458062

Least Common Multiple of 47,22,443 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 47,22,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,22,443) = 1

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

GCF(47,22,443) x common factors =1 x 1 = 1

LCM(47,22,443) = ( 47 × 22 × 443 ) / 1

LCM(47,22,443) = 458062 / 1

LCM(47,22,443) = 458062

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 11/47, 28/22, 560/443

1. What is the HCF of 11,28,560?

The HCF of 11,28,560 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 11/47, 28/22, 560/443?

Answer: GCF of Numerators as per given numbers 11/47, 28/22, 560/443 is

GCF of Numerators i.e. for 11,28,560 is 1

LCM of denominators i.e. for 47,22,443 is 458062.

Thus, GCF of Fractions is 1/458062.Finally, GCF of Fractions for 11/47, 28/22, 560/443 is 1/458062.