GCD of 170, 180, 856, 971 Calculator

Given Input numbers are 170, 180, 856, 971

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (170, 180, 856, 971) = 1.

Given numbers are 170, 180, 856, 971

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 971 are 971

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

Given numbers are 170, 180, 856, 971

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

Apply this formula for all numbers.

Step1:

LCM(170, 180) = 3060

GCD(170, 180) = ( 170 x 180 ) / 3060

= 170 / 180

= 170

Step2:

LCM(10, 856) = 4280

GCD(10, 856) = ( 10 x 856 ) / 4280

= 10 / 856

= 10

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 170, 180, 856, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 785, 121, 697
• GCD of 917, 855, 433, 332
• GCD of 946, 987, 882, 258
• GCD of 509, 307, 903, 377
• GCD of 633, 589, 892, 115

Given numbers are 170, 180, 856, 971
The greatest common divisor of numbers 170, 180, 856, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 180, 856, 971 is 1.

1. What is the GCD of 170, 180, 856, 971?

GCD of given numbers 170, 180, 856, 971 is 1

2. How to calculate the greatest common divisor of 170, 180, 856, 971?

We can find the highest common divisor of 170, 180, 856, 971 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, 180, 856, 971 i.e 1.

3. How can I use the GCD of 170, 180, 856, 971Calculator?

Out the numbers 170, 180, 856, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.