GCD of 975, 998, 495, 420 Calculator

Given Input numbers are 975, 998, 495, 420

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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

GCD of numbers is the greatest common divisor

So, the GCD (975, 998, 495, 420) = 1.

Given numbers are 975, 998, 495, 420

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 998 are 2 x 499

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

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

Given numbers are 975, 998, 495, 420

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

Apply this formula for all numbers.

Step1:

LCM(975, 998) = 973050

GCD(975, 998) = ( 975 x 998 ) / 973050

= 975 / 998

= 975

Step2:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 975, 998, 495, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 655, 905, 565
• GCD of 358, 186, 590, 427
• GCD of 974, 158, 481, 444
• GCD of 872, 636, 171, 580
• GCD of 310, 808, 847, 824

Given numbers are 975, 998, 495, 420
The greatest common divisor of numbers 975, 998, 495, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 998, 495, 420 is 1.

1. What is the GCD of 975, 998, 495, 420?

GCD of given numbers 975, 998, 495, 420 is 1

2. How to calculate the greatest common divisor of 975, 998, 495, 420?

We can find the highest common divisor of 975, 998, 495, 420 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 975, 998, 495, 420 i.e 1.

3. How can I use the GCD of 975, 998, 495, 420Calculator?

Out the numbers 975, 998, 495, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.