GCD of 456, 738, 308, 952 Calculator

Given Input numbers are 456, 738, 308, 952

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

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

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

GCD of numbers is the greatest common divisor

So, the GCD (456, 738, 308, 952) = 2.

Given numbers are 456, 738, 308, 952

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 308 are 2 x 2 x 7 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 456, 738, 308, 952 is 2.

Given numbers are 456, 738, 308, 952

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

Apply this formula for all numbers.

Step1:

LCM(456, 738) = 56088

GCD(456, 738) = ( 456 x 738 ) / 56088

= 456 / 738

= 456

Step2:

LCM(6, 308) = 924

GCD(6, 308) = ( 6 x 308 ) / 924

= 6 / 308

= 6

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 456, 738, 308, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 835, 628, 458
• GCD of 747, 635, 224, 801
• GCD of 136, 907, 658, 403
• GCD of 786, 619, 143, 254
• GCD of 247, 885, 494, 378

Given numbers are 456, 738, 308, 952
The greatest common divisor of numbers 456, 738, 308, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 738, 308, 952 is 2.

1. What is the GCD of 456, 738, 308, 952?

GCD of given numbers 456, 738, 308, 952 is 2

2. How to calculate the greatest common divisor of 456, 738, 308, 952?

We can find the highest common divisor of 456, 738, 308, 952 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 456, 738, 308, 952 i.e 2.

3. How can I use the GCD of 456, 738, 308, 952Calculator?

Out the numbers 456, 738, 308, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.