GCD of 816, 954, 402, 165 Calculator

Given Input numbers are 816, 954, 402, 165

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 402 :

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

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (816, 954, 402, 165) = 3.

Given numbers are 816, 954, 402, 165

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 402 are 2 x 3 x 67

Prime factors of 165 are 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 816, 954, 402, 165 is 3.

Given numbers are 816, 954, 402, 165

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

Apply this formula for all numbers.

Step1:

LCM(816, 954) = 129744

GCD(816, 954) = ( 816 x 954 ) / 129744

= 816 / 954

= 816

Step2:

LCM(6, 402) = 402

GCD(6, 402) = ( 6 x 402 ) / 402

= 6 / 402

= 6

Step3:

LCM(6, 165) = 330

GCD(6, 165) = ( 6 x 165 ) / 330

= 6 / 165

= 6

So, Greatest Common Divisor of 816, 954, 402, 165 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 546, 852, 223
• GCD of 787, 743, 395, 942
• GCD of 491, 141, 573, 914
• GCD of 722, 546, 792, 483
• GCD of 399, 737, 463, 632

Given numbers are 816, 954, 402, 165
The greatest common divisor of numbers 816, 954, 402, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 954, 402, 165 is 3.

1. What is the GCD of 816, 954, 402, 165?

GCD of given numbers 816, 954, 402, 165 is 3

2. How to calculate the greatest common divisor of 816, 954, 402, 165?

We can find the highest common divisor of 816, 954, 402, 165 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 816, 954, 402, 165 i.e 3.

3. How can I use the GCD of 816, 954, 402, 165Calculator?

Out the numbers 816, 954, 402, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.