GCD of 75, 22, 17, 10 Calculator

Given Input numbers are 75, 22, 17, 10

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

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 22 :

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

1, 2, 11, 22

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

GCD of numbers is the greatest common divisor

So, the GCD (75, 22, 17, 10) = 1.

Given numbers are 75, 22, 17, 10

The list of prime factors of all numbers are

Prime factors of 75 are 3 x 5 x 5

Prime factors of 22 are 2 x 11

Prime factors of 17 are 17

Prime factors of 10 are 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 75, 22, 17, 10

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

Apply this formula for all numbers.

Step1:

LCM(75, 22) = 1650

GCD(75, 22) = ( 75 x 22 ) / 1650

= 75 / 22

= 75

Step2:

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

= 1 / 17

= 1

Step3:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

So, Greatest Common Divisor of 75, 22, 17, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 91, 64, 26
• GCD of 30, 15, 25, 83
• GCD of 12, 73, 92, 97
• GCD of 10, 11, 93, 34
• GCD of 19, 35, 94, 67

Given numbers are 75, 22, 17, 10
The greatest common divisor of numbers 75, 22, 17, 10 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 75, 22, 17, 10 is 1.

1. What is the GCD of 75, 22, 17, 10?

GCD of given numbers 75, 22, 17, 10 is 1

2. How to calculate the greatest common divisor of 75, 22, 17, 10?

We can find the highest common divisor of 75, 22, 17, 10 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 75, 22, 17, 10 i.e 1.

3. How can I use the GCD of 75, 22, 17, 10Calculator?

Out the numbers 75, 22, 17, 10 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.