GCD of 735, 956, 38, 824 Calculator

Given Input numbers are 735, 956, 38, 824

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (735, 956, 38, 824) = 1.

Given numbers are 735, 956, 38, 824

The list of prime factors of all numbers are

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

Prime factors of 956 are 2 x 2 x 239

Prime factors of 38 are 2 x 19

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 735, 956, 38, 824

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

Apply this formula for all numbers.

Step1:

LCM(735, 956) = 702660

GCD(735, 956) = ( 735 x 956 ) / 702660

= 735 / 956

= 735

Step2:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 735, 956, 38, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 477, 21, 921
• GCD of 386, 449, 82, 104
• GCD of 537, 861, 17, 387
• GCD of 308, 951, 75, 898
• GCD of 451, 492, 58, 367

Given numbers are 735, 956, 38, 824
The greatest common divisor of numbers 735, 956, 38, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 956, 38, 824 is 1.

1. What is the GCD of 735, 956, 38, 824?

GCD of given numbers 735, 956, 38, 824 is 1

2. How to calculate the greatest common divisor of 735, 956, 38, 824?

We can find the highest common divisor of 735, 956, 38, 824 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, 956, 38, 824 i.e 1.

3. How can I use the GCD of 735, 956, 38, 824Calculator?

Out the numbers 735, 956, 38, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.