GCD of 355, 996, 724, 735 Calculator

Given Input numbers are 355, 996, 724, 735

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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

GCD of numbers is the greatest common divisor

So, the GCD (355, 996, 724, 735) = 1.

Given numbers are 355, 996, 724, 735

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 724 are 2 x 2 x 181

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

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

Given numbers are 355, 996, 724, 735

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

Apply this formula for all numbers.

Step1:

LCM(355, 996) = 353580

GCD(355, 996) = ( 355 x 996 ) / 353580

= 355 / 996

= 355

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 355, 996, 724, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 246, 181, 450
• GCD of 735, 875, 499, 365
• GCD of 414, 832, 177, 872
• GCD of 221, 849, 319, 611
• GCD of 318, 790, 198, 695

Given numbers are 355, 996, 724, 735
The greatest common divisor of numbers 355, 996, 724, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 996, 724, 735 is 1.

1. What is the GCD of 355, 996, 724, 735?

GCD of given numbers 355, 996, 724, 735 is 1

2. How to calculate the greatest common divisor of 355, 996, 724, 735?

We can find the highest common divisor of 355, 996, 724, 735 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 355, 996, 724, 735 i.e 1.

3. How can I use the GCD of 355, 996, 724, 735Calculator?

Out the numbers 355, 996, 724, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.