GCD of 165, 565, 190, 475 Calculator

Given Input numbers are 165, 565, 190, 475

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

GCD of numbers is the greatest common divisor

So, the GCD (165, 565, 190, 475) = 5.

Given numbers are 165, 565, 190, 475

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 565 are 5 x 113

Prime factors of 190 are 2 x 5 x 19

Prime factors of 475 are 5 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 165, 565, 190, 475 is 5.

Given numbers are 165, 565, 190, 475

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

Apply this formula for all numbers.

Step1:

LCM(165, 565) = 18645

GCD(165, 565) = ( 165 x 565 ) / 18645

= 165 / 565

= 165

Step2:

LCM(5, 190) = 190

GCD(5, 190) = ( 5 x 190 ) / 190

= 5 / 190

= 5

Step3:

LCM(5, 475) = 475

GCD(5, 475) = ( 5 x 475 ) / 475

= 5 / 475

= 5

So, Greatest Common Divisor of 165, 565, 190, 475 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 437, 863, 315
• GCD of 664, 884, 662, 461
• GCD of 292, 240, 773, 422
• GCD of 661, 814, 704, 163
• GCD of 795, 423, 178, 830

Given numbers are 165, 565, 190, 475
The greatest common divisor of numbers 165, 565, 190, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 565, 190, 475 is 5.

1. What is the GCD of 165, 565, 190, 475?

GCD of given numbers 165, 565, 190, 475 is 5

2. How to calculate the greatest common divisor of 165, 565, 190, 475?

We can find the highest common divisor of 165, 565, 190, 475 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 165, 565, 190, 475 i.e 5.

3. How can I use the GCD of 165, 565, 190, 475Calculator?

Out the numbers 165, 565, 190, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.