GCD of 442, 500, 352, 989 Calculator

Given Input numbers are 442, 500, 352, 989

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 989 :

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

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (442, 500, 352, 989) = 1.

Given numbers are 442, 500, 352, 989

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 989 are 23 x 43

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

Given numbers are 442, 500, 352, 989

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

Apply this formula for all numbers.

Step1:

LCM(442, 500) = 110500

GCD(442, 500) = ( 442 x 500 ) / 110500

= 442 / 500

= 442

Step2:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

Step3:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

So, Greatest Common Divisor of 442, 500, 352, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 803, 272, 684
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Given numbers are 442, 500, 352, 989
The greatest common divisor of numbers 442, 500, 352, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 500, 352, 989 is 1.

1. What is the GCD of 442, 500, 352, 989?

GCD of given numbers 442, 500, 352, 989 is 1

2. How to calculate the greatest common divisor of 442, 500, 352, 989?

We can find the highest common divisor of 442, 500, 352, 989 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 442, 500, 352, 989 i.e 1.

3. How can I use the GCD of 442, 500, 352, 989Calculator?

Out the numbers 442, 500, 352, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.