GCD of 989, 432, 82, 705 Calculator

Given Input numbers are 989, 432, 82, 705

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (989, 432, 82, 705) = 1.

Given numbers are 989, 432, 82, 705

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 82 are 2 x 41

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 989, 432, 82, 705

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

Apply this formula for all numbers.

Step1:

LCM(989, 432) = 427248

GCD(989, 432) = ( 989 x 432 ) / 427248

= 989 / 432

= 989

Step2:

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

= 1 / 82

= 1

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 989, 432, 82, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 610, 19, 387
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• GCD of 474, 111, 35, 367
• GCD of 872, 564, 83, 739
• GCD of 764, 979, 78, 285

Given numbers are 989, 432, 82, 705
The greatest common divisor of numbers 989, 432, 82, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 432, 82, 705 is 1.

1. What is the GCD of 989, 432, 82, 705?

GCD of given numbers 989, 432, 82, 705 is 1

2. How to calculate the greatest common divisor of 989, 432, 82, 705?

We can find the highest common divisor of 989, 432, 82, 705 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, 432, 82, 705 i.e 1.

3. How can I use the GCD of 989, 432, 82, 705Calculator?

Out the numbers 989, 432, 82, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.