GCD of 177, 470, 728, 920 Calculator

Given Input numbers are 177, 470, 728, 920

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

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

GCD of numbers is the greatest common divisor

So, the GCD (177, 470, 728, 920) = 1.

Given numbers are 177, 470, 728, 920

The list of prime factors of all numbers are

Prime factors of 177 are 3 x 59

Prime factors of 470 are 2 x 5 x 47

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

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

Given numbers are 177, 470, 728, 920

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

Apply this formula for all numbers.

Step1:

LCM(177, 470) = 83190

GCD(177, 470) = ( 177 x 470 ) / 83190

= 177 / 470

= 177

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 177, 470, 728, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 276, 907, 594
• GCD of 506, 984, 828, 223
• GCD of 364, 374, 922, 921
• GCD of 708, 125, 793, 137
• GCD of 932, 743, 125, 876

Given numbers are 177, 470, 728, 920
The greatest common divisor of numbers 177, 470, 728, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 470, 728, 920 is 1.

1. What is the GCD of 177, 470, 728, 920?

GCD of given numbers 177, 470, 728, 920 is 1

2. How to calculate the greatest common divisor of 177, 470, 728, 920?

We can find the highest common divisor of 177, 470, 728, 920 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 177, 470, 728, 920 i.e 1.

3. How can I use the GCD of 177, 470, 728, 920Calculator?

Out the numbers 177, 470, 728, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.