GCD of 399, 912, 201, 735 Calculator

Given Input numbers are 399, 912, 201, 735

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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 (399, 912, 201, 735) = 3.

Given numbers are 399, 912, 201, 735

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 201 are 3 x 67

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

The highest common occurrence is 3¹

Therefore, GCD of 399, 912, 201, 735 is 3.

Given numbers are 399, 912, 201, 735

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

Apply this formula for all numbers.

Step1:

LCM(399, 912) = 6384

GCD(399, 912) = ( 399 x 912 ) / 6384

= 399 / 912

= 399

Step2:

LCM(57, 201) = 3819

GCD(57, 201) = ( 57 x 201 ) / 3819

= 57 / 201

= 57

Step3:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

So, Greatest Common Divisor of 399, 912, 201, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 894, 963, 724
• GCD of 801, 413, 341, 848
• GCD of 471, 322, 356, 816
• GCD of 190, 286, 560, 213
• GCD of 989, 689, 278, 330

Given numbers are 399, 912, 201, 735
The greatest common divisor of numbers 399, 912, 201, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 912, 201, 735 is 3.

1. What is the GCD of 399, 912, 201, 735?

GCD of given numbers 399, 912, 201, 735 is 3

2. How to calculate the greatest common divisor of 399, 912, 201, 735?

We can find the highest common divisor of 399, 912, 201, 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 399, 912, 201, 735 i.e 3.

3. How can I use the GCD of 399, 912, 201, 735Calculator?

Out the numbers 399, 912, 201, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.