GCD of 172, 970, 981, 828 Calculator

Given Input numbers are 172, 970, 981, 828

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 970 :

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

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (172, 970, 981, 828) = 1.

Given numbers are 172, 970, 981, 828

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 970 are 2 x 5 x 97

Prime factors of 981 are 3 x 3 x 109

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 172, 970, 981, 828

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

Apply this formula for all numbers.

Step1:

LCM(172, 970) = 83420

GCD(172, 970) = ( 172 x 970 ) / 83420

= 172 / 970

= 172

Step2:

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

= 2 / 981

= 2

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 172, 970, 981, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 835, 138, 877
• GCD of 112, 506, 730, 776
• GCD of 870, 537, 410, 294
• GCD of 986, 134, 402, 688
• GCD of 909, 115, 284, 517

Given numbers are 172, 970, 981, 828
The greatest common divisor of numbers 172, 970, 981, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 970, 981, 828 is 1.

1. What is the GCD of 172, 970, 981, 828?

GCD of given numbers 172, 970, 981, 828 is 1

2. How to calculate the greatest common divisor of 172, 970, 981, 828?

We can find the highest common divisor of 172, 970, 981, 828 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 172, 970, 981, 828 i.e 1.

3. How can I use the GCD of 172, 970, 981, 828Calculator?

Out the numbers 172, 970, 981, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.