GCD of 575, 395, 20, 690 Calculator

Given Input numbers are 575, 395, 20, 690

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (575, 395, 20, 690) = 5.

Given numbers are 575, 395, 20, 690

The list of prime factors of all numbers are

Prime factors of 575 are 5 x 5 x 23

Prime factors of 395 are 5 x 79

Prime factors of 20 are 2 x 2 x 5

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 575, 395, 20, 690 is 5.

Given numbers are 575, 395, 20, 690

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

Apply this formula for all numbers.

Step1:

LCM(575, 395) = 45425

GCD(575, 395) = ( 575 x 395 ) / 45425

= 575 / 395

= 575

Step2:

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

= 5 / 20

= 5

Step3:

LCM(5, 690) = 690

GCD(5, 690) = ( 5 x 690 ) / 690

= 5 / 690

= 5

So, Greatest Common Divisor of 575, 395, 20, 690 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 248, 53, 178
• GCD of 250, 657, 42, 662
• GCD of 786, 230, 52, 208
• GCD of 735, 110, 12, 915
• GCD of 263, 198, 83, 797

Given numbers are 575, 395, 20, 690
The greatest common divisor of numbers 575, 395, 20, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 395, 20, 690 is 5.

1. What is the GCD of 575, 395, 20, 690?

GCD of given numbers 575, 395, 20, 690 is 5

2. How to calculate the greatest common divisor of 575, 395, 20, 690?

We can find the highest common divisor of 575, 395, 20, 690 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 575, 395, 20, 690 i.e 5.

3. How can I use the GCD of 575, 395, 20, 690Calculator?

Out the numbers 575, 395, 20, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.