GCD of 735, 972, 279, 442 Calculator

Given Input numbers are 735, 972, 279, 442

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 442 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (735, 972, 279, 442) = 1.

Given numbers are 735, 972, 279, 442

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

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

Prime factors of 279 are 3 x 3 x 31

Prime factors of 442 are 2 x 13 x 17

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

Given numbers are 735, 972, 279, 442

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

Apply this formula for all numbers.

Step1:

LCM(735, 972) = 238140

GCD(735, 972) = ( 735 x 972 ) / 238140

= 735 / 972

= 735

Step2:

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

= 3 / 279

= 3

Step3:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3

So, Greatest Common Divisor of 735, 972, 279, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 405, 100, 132
• GCD of 438, 773, 227, 305
• GCD of 865, 806, 771, 474
• GCD of 716, 498, 317, 144
• GCD of 913, 972, 965, 736

Given numbers are 735, 972, 279, 442
The greatest common divisor of numbers 735, 972, 279, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 972, 279, 442 is 1.

1. What is the GCD of 735, 972, 279, 442?

GCD of given numbers 735, 972, 279, 442 is 1

2. How to calculate the greatest common divisor of 735, 972, 279, 442?

We can find the highest common divisor of 735, 972, 279, 442 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 735, 972, 279, 442 i.e 1.

3. How can I use the GCD of 735, 972, 279, 442Calculator?

Out the numbers 735, 972, 279, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.