GCD of 495, 420, 755, 428 Calculator

Given Input numbers are 495, 420, 755, 428

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 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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (495, 420, 755, 428) = 1.

Given numbers are 495, 420, 755, 428

The list of prime factors of all numbers are

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

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

Prime factors of 755 are 5 x 151

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 495, 420, 755, 428

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

Apply this formula for all numbers.

Step1:

LCM(495, 420) = 13860

GCD(495, 420) = ( 495 x 420 ) / 13860

= 495 / 420

= 495

Step2:

LCM(15, 755) = 2265

GCD(15, 755) = ( 15 x 755 ) / 2265

= 15 / 755

= 15

Step3:

LCM(5, 428) = 2140

GCD(5, 428) = ( 5 x 428 ) / 2140

= 5 / 428

= 5

So, Greatest Common Divisor of 495, 420, 755, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 108, 547, 450
• GCD of 655, 482, 223, 518
• GCD of 141, 614, 611, 915
• GCD of 986, 154, 349, 450
• GCD of 549, 213, 929, 277

Given numbers are 495, 420, 755, 428
The greatest common divisor of numbers 495, 420, 755, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 420, 755, 428 is 1.

1. What is the GCD of 495, 420, 755, 428?

GCD of given numbers 495, 420, 755, 428 is 1

2. How to calculate the greatest common divisor of 495, 420, 755, 428?

We can find the highest common divisor of 495, 420, 755, 428 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, 420, 755, 428 i.e 1.

3. How can I use the GCD of 495, 420, 755, 428Calculator?

Out the numbers 495, 420, 755, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.