GCD of 971, 597, 742, 171 Calculator

Given Input numbers are 971, 597, 742, 171

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

Divisors of 971 :

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

1, 971

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (971, 597, 742, 171) = 1.

Given numbers are 971, 597, 742, 171

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 597 are 3 x 199

Prime factors of 742 are 2 x 7 x 53

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 971, 597, 742, 171

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

Apply this formula for all numbers.

Step1:

LCM(971, 597) = 579687

GCD(971, 597) = ( 971 x 597 ) / 579687

= 971 / 597

= 971

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 971, 597, 742, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 374, 918, 764
• GCD of 677, 657, 101, 581
• GCD of 568, 938, 751, 644
• GCD of 206, 507, 978, 230
• GCD of 311, 668, 975, 495

Given numbers are 971, 597, 742, 171
The greatest common divisor of numbers 971, 597, 742, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 597, 742, 171 is 1.

1. What is the GCD of 971, 597, 742, 171?

GCD of given numbers 971, 597, 742, 171 is 1

2. How to calculate the greatest common divisor of 971, 597, 742, 171?

We can find the highest common divisor of 971, 597, 742, 171 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 971, 597, 742, 171 i.e 1.

3. How can I use the GCD of 971, 597, 742, 171Calculator?

Out the numbers 971, 597, 742, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.