GCD of 289, 138, 844, 428 Calculator

Given Input numbers are 289, 138, 844, 428

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (289, 138, 844, 428) = 1.

Given numbers are 289, 138, 844, 428

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 138 are 2 x 3 x 23

Prime factors of 844 are 2 x 2 x 211

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 289, 138, 844, 428

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

Apply this formula for all numbers.

Step1:

LCM(289, 138) = 39882

GCD(289, 138) = ( 289 x 138 ) / 39882

= 289 / 138

= 289

Step2:

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

= 1 / 844

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 289, 138, 844, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 105, 263, 297
• GCD of 430, 365, 246, 130
• GCD of 646, 325, 812, 577
• GCD of 779, 680, 551, 307
• GCD of 834, 567, 735, 916

Given numbers are 289, 138, 844, 428
The greatest common divisor of numbers 289, 138, 844, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 138, 844, 428 is 1.

1. What is the GCD of 289, 138, 844, 428?

GCD of given numbers 289, 138, 844, 428 is 1

2. How to calculate the greatest common divisor of 289, 138, 844, 428?

We can find the highest common divisor of 289, 138, 844, 428 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 289, 138, 844, 428 i.e 1.

3. How can I use the GCD of 289, 138, 844, 428Calculator?

Out the numbers 289, 138, 844, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.