GCD of 972, 133, 610, 170 Calculator

Given Input numbers are 972, 133, 610, 170

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

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 (972, 133, 610, 170) = 1.

Given numbers are 972, 133, 610, 170

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 133 are 7 x 19

Prime factors of 610 are 2 x 5 x 61

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 972, 133, 610, 170

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

Apply this formula for all numbers.

Step1:

LCM(972, 133) = 129276

GCD(972, 133) = ( 972 x 133 ) / 129276

= 972 / 133

= 972

Step2:

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

= 1 / 610

= 1

Step3:

LCM(1, 170) = 170

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

= 1 / 170

= 1

So, Greatest Common Divisor of 972, 133, 610, 170 is 1

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Given numbers are 972, 133, 610, 170
The greatest common divisor of numbers 972, 133, 610, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 133, 610, 170 is 1.

1. What is the GCD of 972, 133, 610, 170?

GCD of given numbers 972, 133, 610, 170 is 1

2. How to calculate the greatest common divisor of 972, 133, 610, 170?

We can find the highest common divisor of 972, 133, 610, 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 972, 133, 610, 170 i.e 1.

3. How can I use the GCD of 972, 133, 610, 170Calculator?

Out the numbers 972, 133, 610, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.