GCD of 989, 724, 160, 412 Calculator

Given Input numbers are 989, 724, 160, 412

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (989, 724, 160, 412) = 1.

Given numbers are 989, 724, 160, 412

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 724 are 2 x 2 x 181

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 412 are 2 x 2 x 103

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

Given numbers are 989, 724, 160, 412

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

Apply this formula for all numbers.

Step1:

LCM(989, 724) = 716036

GCD(989, 724) = ( 989 x 724 ) / 716036

= 989 / 724

= 989

Step2:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

Step3:

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

= 1 / 412

= 1

So, Greatest Common Divisor of 989, 724, 160, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 602, 946, 954
• GCD of 329, 236, 858, 113
• GCD of 661, 815, 909, 738
• GCD of 582, 230, 753, 543
• GCD of 598, 764, 353, 365

Given numbers are 989, 724, 160, 412
The greatest common divisor of numbers 989, 724, 160, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 724, 160, 412 is 1.

1. What is the GCD of 989, 724, 160, 412?

GCD of given numbers 989, 724, 160, 412 is 1

2. How to calculate the greatest common divisor of 989, 724, 160, 412?

We can find the highest common divisor of 989, 724, 160, 412 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, 724, 160, 412 i.e 1.

3. How can I use the GCD of 989, 724, 160, 412Calculator?

Out the numbers 989, 724, 160, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.