How to Find GCF of 22/433, 7579/6474?

GCF of 22/433, 7579/6474

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 22/433, 7579/6474 i.e 11/2803242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/433, 7579/6474.

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 22/433,7579/6474?

Given fractions are 22/433,7579/6474

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 22/433,7579/6474, numerators are 22,7579

Denominators are 433,6474

The GCF of 22,7579 is 11 .

LCM of 433,6474 is 2803242.

The greatest common factor of 22/433,7579/6474 = [GCF of 22,7579]/[LCM of 433,6474]= 11/2803242

Therefore, the GCF of 22/433,7579/6474 is 11/2803242.

Greatest Common Factor of 22,7579

To find the highest common factor of 22,7579, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 7579 are 1, 11, 13, 53, 143, 583, 689, 7579

The HCF of 22,7579 is 11.

Lets's calculate GCF of 22,7579

Greatest Common Factor (GCF) of 22,7579 By Common Division

11	22, 7579
	2, 689

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

Greatest Common Factor of 22,7579 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 7579

1,11,13,53,143,583,689,7579

Greatest Common Factor

We found the factors 22,7579 . The biggest common factor number is the GCF number.
So the greatest common factor 22,7579 is 11.

Lets's calculate LCM of 433,6474

Lowest Common Multiple of 433,6474 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2803242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2803242

Therefore, the GCF of Fractions 22/433,7579/6474 is 11/2803242

Least Common Multiple of 433,6474 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 433,6474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,6474) = 1

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

GCF(433,6474) x common factors =1 x 1 = 1

LCM(433,6474) = ( 433 × 6474 ) / 1

LCM(433,6474) = 2803242 / 1

LCM(433,6474) = 2803242

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 22/433, 7579/6474

1. What is the HCF of 22,7579?

The HCF of 22,7579 is 11

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 22/433, 7579/6474?

Answer: GCF of Numerators as per given numbers 22/433, 7579/6474 is

GCF of Numerators i.e. for 22,7579 is 11

LCM of denominators i.e. for 433,6474 is 2803242.

Thus, GCF of Fractions is 11/2803242.Finally, GCF of Fractions for 22/433, 7579/6474 is 11/2803242.