GCD of 106, 467, 972, 145 Calculator

Given Input numbers are 106, 467, 972, 145

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

GCD of numbers is the greatest common divisor

So, the GCD (106, 467, 972, 145) = 1.

Given numbers are 106, 467, 972, 145

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 467 are 467

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

Prime factors of 145 are 5 x 29

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

Given numbers are 106, 467, 972, 145

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

Apply this formula for all numbers.

Step1:

LCM(106, 467) = 49502

GCD(106, 467) = ( 106 x 467 ) / 49502

= 106 / 467

= 106

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

= 1 / 145

= 1

So, Greatest Common Divisor of 106, 467, 972, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 669, 809, 985
• GCD of 336, 137, 942, 474
• GCD of 499, 754, 705, 430
• GCD of 159, 117, 298, 961
• GCD of 292, 973, 908, 446

Given numbers are 106, 467, 972, 145
The greatest common divisor of numbers 106, 467, 972, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 467, 972, 145 is 1.

1. What is the GCD of 106, 467, 972, 145?

GCD of given numbers 106, 467, 972, 145 is 1

2. How to calculate the greatest common divisor of 106, 467, 972, 145?

We can find the highest common divisor of 106, 467, 972, 145 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 106, 467, 972, 145 i.e 1.

3. How can I use the GCD of 106, 467, 972, 145Calculator?

Out the numbers 106, 467, 972, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.