GCD of 971, 822, 509, 606 Calculator

Given Input numbers are 971, 822, 509, 606

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

GCD of numbers is the greatest common divisor

So, the GCD (971, 822, 509, 606) = 1.

Given numbers are 971, 822, 509, 606

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 822 are 2 x 3 x 137

Prime factors of 509 are 509

Prime factors of 606 are 2 x 3 x 101

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

Given numbers are 971, 822, 509, 606

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

Apply this formula for all numbers.

Step1:

LCM(971, 822) = 798162

GCD(971, 822) = ( 971 x 822 ) / 798162

= 971 / 822

= 971

Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

Step3:

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

= 1 / 606

= 1

So, Greatest Common Divisor of 971, 822, 509, 606 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 300, 849, 991
• GCD of 867, 578, 227, 320
• GCD of 671, 366, 278, 786
• GCD of 958, 239, 544, 133
• GCD of 183, 202, 635, 174

Given numbers are 971, 822, 509, 606
The greatest common divisor of numbers 971, 822, 509, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 822, 509, 606 is 1.

1. What is the GCD of 971, 822, 509, 606?

GCD of given numbers 971, 822, 509, 606 is 1

2. How to calculate the greatest common divisor of 971, 822, 509, 606?

We can find the highest common divisor of 971, 822, 509, 606 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, 822, 509, 606 i.e 1.

3. How can I use the GCD of 971, 822, 509, 606Calculator?

Out the numbers 971, 822, 509, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.