GCD of 396, 757, 972, 420 Calculator

Given Input numbers are 396, 757, 972, 420

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 (396, 757, 972, 420) = 1.

Given numbers are 396, 757, 972, 420

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 757 are 757

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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 396, 757, 972, 420

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

Apply this formula for all numbers.

Step1:

LCM(396, 757) = 299772

GCD(396, 757) = ( 396 x 757 ) / 299772

= 396 / 757

= 396

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 396, 757, 972, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 243, 379, 499
• GCD of 648, 226, 326, 107
• GCD of 485, 741, 173, 529
• GCD of 136, 901, 766, 208
• GCD of 227, 807, 463, 721

Given numbers are 396, 757, 972, 420
The greatest common divisor of numbers 396, 757, 972, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 757, 972, 420 is 1.

1. What is the GCD of 396, 757, 972, 420?

GCD of given numbers 396, 757, 972, 420 is 1

2. How to calculate the greatest common divisor of 396, 757, 972, 420?

We can find the highest common divisor of 396, 757, 972, 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 396, 757, 972, 420 i.e 1.

3. How can I use the GCD of 396, 757, 972, 420Calculator?

Out the numbers 396, 757, 972, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.