GCD of 170, 356, 472, 768 Calculator

Given Input numbers are 170, 356, 472, 768

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 356, 472, 768) = 2.

Given numbers are 170, 356, 472, 768

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 356 are 2 x 2 x 89

Prime factors of 472 are 2 x 2 x 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 170, 356, 472, 768 is 2.

Given numbers are 170, 356, 472, 768

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

Apply this formula for all numbers.

Step1:

LCM(170, 356) = 30260

GCD(170, 356) = ( 170 x 356 ) / 30260

= 170 / 356

= 170

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

So, Greatest Common Divisor of 170, 356, 472, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 778, 737, 540
• GCD of 336, 700, 483, 920
• GCD of 460, 322, 770, 590
• GCD of 353, 612, 258, 584
• GCD of 679, 969, 471, 813

Given numbers are 170, 356, 472, 768
The greatest common divisor of numbers 170, 356, 472, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 356, 472, 768 is 2.

1. What is the GCD of 170, 356, 472, 768?

GCD of given numbers 170, 356, 472, 768 is 2

2. How to calculate the greatest common divisor of 170, 356, 472, 768?

We can find the highest common divisor of 170, 356, 472, 768 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 170, 356, 472, 768 i.e 2.

3. How can I use the GCD of 170, 356, 472, 768Calculator?

Out the numbers 170, 356, 472, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.