GCD of 74, 56, 24, 22 Calculator

Given Input numbers are 74, 56, 24, 22

In the factoring method, we have to find the divisors of all numbers

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

GCD of numbers is the greatest common divisor

So, the GCD (74, 56, 24, 22) = 2.

Given numbers are 74, 56, 24, 22

The list of prime factors of all numbers are

Prime factors of 74 are 2 x 37

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 22 are 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 74, 56, 24, 22 is 2.

Given numbers are 74, 56, 24, 22

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(74, 56) = 2072

GCD(74, 56) = ( 74 x 56 ) / 2072

= 74 / 56

= 74

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

= 2 / 22

= 2

So, Greatest Common Divisor of 74, 56, 24, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 62, 82, 48
• GCD of 29, 30, 21, 50
• GCD of 15, 15, 72, 37
• GCD of 23, 14, 67, 53
• GCD of 59, 87, 21, 50

Given numbers are 74, 56, 24, 22
The greatest common divisor of numbers 74, 56, 24, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 74, 56, 24, 22 is 2.

1. What is the GCD of 74, 56, 24, 22?

GCD of given numbers 74, 56, 24, 22 is 2

2. How to calculate the greatest common divisor of 74, 56, 24, 22?

We can find the highest common divisor of 74, 56, 24, 22 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 74, 56, 24, 22 i.e 2.

3. How can I use the GCD of 74, 56, 24, 22Calculator?

Out the numbers 74, 56, 24, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.