GCD of 442, 624, 353, 972 Calculator

Given Input numbers are 442, 624, 353, 972

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

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

GCD of numbers is the greatest common divisor

So, the GCD (442, 624, 353, 972) = 1.

Given numbers are 442, 624, 353, 972

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 353 are 353

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

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

Given numbers are 442, 624, 353, 972

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

Apply this formula for all numbers.

Step1:

LCM(442, 624) = 10608

GCD(442, 624) = ( 442 x 624 ) / 10608

= 442 / 624

= 442

Step2:

LCM(26, 353) = 9178

GCD(26, 353) = ( 26 x 353 ) / 9178

= 26 / 353

= 26

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 442, 624, 353, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 323, 924, 243
• GCD of 824, 682, 313, 409
• GCD of 113, 728, 580, 705
• GCD of 291, 799, 204, 311
• GCD of 566, 218, 874, 224

Given numbers are 442, 624, 353, 972
The greatest common divisor of numbers 442, 624, 353, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 624, 353, 972 is 1.

1. What is the GCD of 442, 624, 353, 972?

GCD of given numbers 442, 624, 353, 972 is 1

2. How to calculate the greatest common divisor of 442, 624, 353, 972?

We can find the highest common divisor of 442, 624, 353, 972 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 442, 624, 353, 972 i.e 1.

3. How can I use the GCD of 442, 624, 353, 972Calculator?

Out the numbers 442, 624, 353, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.