GCD of 402, 693, 855, 960 Calculator

Given Input numbers are 402, 693, 855, 960

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (402, 693, 855, 960) = 3.

Given numbers are 402, 693, 855, 960

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 402, 693, 855, 960 is 3.

Given numbers are 402, 693, 855, 960

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

Apply this formula for all numbers.

Step1:

LCM(402, 693) = 92862

GCD(402, 693) = ( 402 x 693 ) / 92862

= 402 / 693

= 402

Step2:

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

= 3 / 855

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 402, 693, 855, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 711, 887, 209
• GCD of 727, 980, 740, 642
• GCD of 106, 265, 378, 745
• GCD of 636, 988, 174, 998
• GCD of 994, 685, 710, 331

Given numbers are 402, 693, 855, 960
The greatest common divisor of numbers 402, 693, 855, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 693, 855, 960 is 3.

1. What is the GCD of 402, 693, 855, 960?

GCD of given numbers 402, 693, 855, 960 is 3

2. How to calculate the greatest common divisor of 402, 693, 855, 960?

We can find the highest common divisor of 402, 693, 855, 960 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 402, 693, 855, 960 i.e 3.

3. How can I use the GCD of 402, 693, 855, 960Calculator?

Out the numbers 402, 693, 855, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.