GCD of 920, 355, 171, 772 Calculator

Given Input numbers are 920, 355, 171, 772

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (920, 355, 171, 772) = 1.

Given numbers are 920, 355, 171, 772

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 355 are 5 x 71

Prime factors of 171 are 3 x 3 x 19

Prime factors of 772 are 2 x 2 x 193

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 920, 355, 171, 772

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

Apply this formula for all numbers.

Step1:

LCM(920, 355) = 65320

GCD(920, 355) = ( 920 x 355 ) / 65320

= 920 / 355

= 920

Step2:

LCM(5, 171) = 855

GCD(5, 171) = ( 5 x 171 ) / 855

= 5 / 171

= 5

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 920, 355, 171, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 597, 788, 509
• GCD of 412, 719, 536, 458
• GCD of 938, 522, 267, 280
• GCD of 823, 580, 592, 935
• GCD of 179, 125, 373, 597

Given numbers are 920, 355, 171, 772
The greatest common divisor of numbers 920, 355, 171, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 355, 171, 772 is 1.

1. What is the GCD of 920, 355, 171, 772?

GCD of given numbers 920, 355, 171, 772 is 1

2. How to calculate the greatest common divisor of 920, 355, 171, 772?

We can find the highest common divisor of 920, 355, 171, 772 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 920, 355, 171, 772 i.e 1.

3. How can I use the GCD of 920, 355, 171, 772Calculator?

Out the numbers 920, 355, 171, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.