GCD of 428, 864, 142, 989 Calculator

Given Input numbers are 428, 864, 142, 989

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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 (428, 864, 142, 989) = 1.

Given numbers are 428, 864, 142, 989

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 142 are 2 x 71

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 428, 864, 142, 989

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

Apply this formula for all numbers.

Step1:

LCM(428, 864) = 92448

GCD(428, 864) = ( 428 x 864 ) / 92448

= 428 / 864

= 428

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 989) = 1978

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

= 2 / 989

= 2

So, Greatest Common Divisor of 428, 864, 142, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 351, 497, 472
• GCD of 709, 797, 146, 539
• GCD of 799, 664, 340, 996
• GCD of 260, 597, 892, 284
• GCD of 704, 298, 739, 939

Given numbers are 428, 864, 142, 989
The greatest common divisor of numbers 428, 864, 142, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 864, 142, 989 is 1.

1. What is the GCD of 428, 864, 142, 989?

GCD of given numbers 428, 864, 142, 989 is 1

2. How to calculate the greatest common divisor of 428, 864, 142, 989?

We can find the highest common divisor of 428, 864, 142, 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 428, 864, 142, 989 i.e 1.

3. How can I use the GCD of 428, 864, 142, 989Calculator?

Out the numbers 428, 864, 142, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.