GCD of 952, 408, 110, 462 Calculator

Given Input numbers are 952, 408, 110, 462

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (952, 408, 110, 462) = 2.

Given numbers are 952, 408, 110, 462

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 110 are 2 x 5 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 952, 408, 110, 462 is 2.

Given numbers are 952, 408, 110, 462

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

Apply this formula for all numbers.

Step1:

LCM(952, 408) = 2856

GCD(952, 408) = ( 952 x 408 ) / 2856

= 952 / 408

= 952

Step2:

LCM(136, 110) = 7480

GCD(136, 110) = ( 136 x 110 ) / 7480

= 136 / 110

= 136

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 952, 408, 110, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 547, 444, 240
• GCD of 619, 689, 934, 798
• GCD of 367, 106, 288, 730
• GCD of 258, 218, 475, 205
• GCD of 854, 296, 911, 606

Given numbers are 952, 408, 110, 462
The greatest common divisor of numbers 952, 408, 110, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 408, 110, 462 is 2.

1. What is the GCD of 952, 408, 110, 462?

GCD of given numbers 952, 408, 110, 462 is 2

2. How to calculate the greatest common divisor of 952, 408, 110, 462?

We can find the highest common divisor of 952, 408, 110, 462 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 952, 408, 110, 462 i.e 2.

3. How can I use the GCD of 952, 408, 110, 462Calculator?

Out the numbers 952, 408, 110, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.