GCD of 420, 595, 635, 805 Calculator

Given Input numbers are 420, 595, 635, 805

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

GCD of numbers is the greatest common divisor

So, the GCD (420, 595, 635, 805) = 5.

Given numbers are 420, 595, 635, 805

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 595 are 5 x 7 x 17

Prime factors of 635 are 5 x 127

Prime factors of 805 are 5 x 7 x 23

The highest common occurrence is 5¹

Therefore, GCD of 420, 595, 635, 805 is 5.

Given numbers are 420, 595, 635, 805

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

Apply this formula for all numbers.

Step1:

LCM(420, 595) = 7140

GCD(420, 595) = ( 420 x 595 ) / 7140

= 420 / 595

= 420

Step2:

LCM(35, 635) = 4445

GCD(35, 635) = ( 35 x 635 ) / 4445

= 35 / 635

= 35

Step3:

LCM(5, 805) = 805

GCD(5, 805) = ( 5 x 805 ) / 805

= 5 / 805

= 5

So, Greatest Common Divisor of 420, 595, 635, 805 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 320, 727, 883
• GCD of 729, 102, 191, 336
• GCD of 473, 146, 251, 627
• GCD of 732, 938, 683, 604
• GCD of 792, 748, 408, 224

Given numbers are 420, 595, 635, 805
The greatest common divisor of numbers 420, 595, 635, 805 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 595, 635, 805 is 5.

1. What is the GCD of 420, 595, 635, 805?

GCD of given numbers 420, 595, 635, 805 is 5

2. How to calculate the greatest common divisor of 420, 595, 635, 805?

We can find the highest common divisor of 420, 595, 635, 805 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 420, 595, 635, 805 i.e 5.

3. How can I use the GCD of 420, 595, 635, 805Calculator?

Out the numbers 420, 595, 635, 805 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.