GCD of 989, 145, 456, 872 Calculator

Given Input numbers are 989, 145, 456, 872

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 145 :

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

1, 5, 29, 145

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (989, 145, 456, 872) = 1.

Given numbers are 989, 145, 456, 872

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 145 are 5 x 29

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 989, 145, 456, 872

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

Apply this formula for all numbers.

Step1:

LCM(989, 145) = 143405

GCD(989, 145) = ( 989 x 145 ) / 143405

= 989 / 145

= 989

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 989, 145, 456, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 359, 305, 874
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Given numbers are 989, 145, 456, 872
The greatest common divisor of numbers 989, 145, 456, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 145, 456, 872 is 1.

1. What is the GCD of 989, 145, 456, 872?

GCD of given numbers 989, 145, 456, 872 is 1

2. How to calculate the greatest common divisor of 989, 145, 456, 872?

We can find the highest common divisor of 989, 145, 456, 872 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 989, 145, 456, 872 i.e 1.

3. How can I use the GCD of 989, 145, 456, 872Calculator?

Out the numbers 989, 145, 456, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.