GCD of 738, 768, 975, 162 Calculator

Given Input numbers are 738, 768, 975, 162

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

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (738, 768, 975, 162) = 3.

Given numbers are 738, 768, 975, 162

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 738, 768, 975, 162 is 3.

Given numbers are 738, 768, 975, 162

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

Apply this formula for all numbers.

Step1:

LCM(738, 768) = 94464

GCD(738, 768) = ( 738 x 768 ) / 94464

= 738 / 768

= 738

Step2:

LCM(6, 975) = 1950

GCD(6, 975) = ( 6 x 975 ) / 1950

= 6 / 975

= 6

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 738, 768, 975, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 128, 732, 329
• GCD of 627, 432, 419, 672
• GCD of 159, 638, 341, 566
• GCD of 500, 822, 489, 605
• GCD of 944, 890, 435, 590

Given numbers are 738, 768, 975, 162
The greatest common divisor of numbers 738, 768, 975, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 768, 975, 162 is 3.

1. What is the GCD of 738, 768, 975, 162?

GCD of given numbers 738, 768, 975, 162 is 3

2. How to calculate the greatest common divisor of 738, 768, 975, 162?

We can find the highest common divisor of 738, 768, 975, 162 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 738, 768, 975, 162 i.e 3.

3. How can I use the GCD of 738, 768, 975, 162Calculator?

Out the numbers 738, 768, 975, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.