GCD of 970, 824, 509, 170 Calculator

Given Input numbers are 970, 824, 509, 170

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 509 :

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

1, 509

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (970, 824, 509, 170) = 1.

Given numbers are 970, 824, 509, 170

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 509 are 509

Prime factors of 170 are 2 x 5 x 17

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

Given numbers are 970, 824, 509, 170

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

Apply this formula for all numbers.

Step1:

LCM(970, 824) = 399640

GCD(970, 824) = ( 970 x 824 ) / 399640

= 970 / 824

= 970

Step2:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

Step3:

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

= 1 / 170

= 1

So, Greatest Common Divisor of 970, 824, 509, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 451, 621, 496
• GCD of 209, 755, 736, 574
• GCD of 680, 893, 133, 686
• GCD of 537, 404, 218, 336
• GCD of 292, 138, 648, 405

Given numbers are 970, 824, 509, 170
The greatest common divisor of numbers 970, 824, 509, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 824, 509, 170 is 1.

1. What is the GCD of 970, 824, 509, 170?

GCD of given numbers 970, 824, 509, 170 is 1

2. How to calculate the greatest common divisor of 970, 824, 509, 170?

We can find the highest common divisor of 970, 824, 509, 170 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 970, 824, 509, 170 i.e 1.

3. How can I use the GCD of 970, 824, 509, 170Calculator?

Out the numbers 970, 824, 509, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.