GCD of 495, 505, 600, 421 Calculator

Given Input numbers are 495, 505, 600, 421

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (495, 505, 600, 421) = 1.

Given numbers are 495, 505, 600, 421

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 505 are 5 x 101

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 421 are 421

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

Given numbers are 495, 505, 600, 421

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

Apply this formula for all numbers.

Step1:

LCM(495, 505) = 49995

GCD(495, 505) = ( 495 x 505 ) / 49995

= 495 / 505

= 495

Step2:

LCM(5, 600) = 600

GCD(5, 600) = ( 5 x 600 ) / 600

= 5 / 600

= 5

Step3:

LCM(5, 421) = 2105

GCD(5, 421) = ( 5 x 421 ) / 2105

= 5 / 421

= 5

So, Greatest Common Divisor of 495, 505, 600, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 675, 707, 795
• GCD of 687, 310, 334, 385
• GCD of 556, 510, 502, 814
• GCD of 601, 219, 193, 376
• GCD of 346, 618, 323, 405

Given numbers are 495, 505, 600, 421
The greatest common divisor of numbers 495, 505, 600, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 505, 600, 421 is 1.

1. What is the GCD of 495, 505, 600, 421?

GCD of given numbers 495, 505, 600, 421 is 1

2. How to calculate the greatest common divisor of 495, 505, 600, 421?

We can find the highest common divisor of 495, 505, 600, 421 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 495, 505, 600, 421 i.e 1.

3. How can I use the GCD of 495, 505, 600, 421Calculator?

Out the numbers 495, 505, 600, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.