GCD of 738, 735, 898, 396 Calculator

Given Input numbers are 738, 735, 898, 396

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

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

GCD of numbers is the greatest common divisor

So, the GCD (738, 735, 898, 396) = 1.

Given numbers are 738, 735, 898, 396

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

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

Prime factors of 898 are 2 x 449

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

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

Given numbers are 738, 735, 898, 396

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

Apply this formula for all numbers.

Step1:

LCM(738, 735) = 180810

GCD(738, 735) = ( 738 x 735 ) / 180810

= 738 / 735

= 738

Step2:

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

= 3 / 898

= 3

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 738, 735, 898, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 769, 922, 749
• GCD of 655, 329, 282, 336
• GCD of 206, 728, 115, 374
• GCD of 138, 295, 539, 700
• GCD of 196, 970, 123, 105

Given numbers are 738, 735, 898, 396
The greatest common divisor of numbers 738, 735, 898, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 735, 898, 396 is 1.

1. What is the GCD of 738, 735, 898, 396?

GCD of given numbers 738, 735, 898, 396 is 1

2. How to calculate the greatest common divisor of 738, 735, 898, 396?

We can find the highest common divisor of 738, 735, 898, 396 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 738, 735, 898, 396 i.e 1.

3. How can I use the GCD of 738, 735, 898, 396Calculator?

Out the numbers 738, 735, 898, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.