GCD of 289, 138, 938, 462 Calculator

Given Input numbers are 289, 138, 938, 462

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (289, 138, 938, 462) = 1.

Given numbers are 289, 138, 938, 462

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 938 are 2 x 7 x 67

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 289, 138, 938, 462

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, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 289, 138, 938, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 555, 299, 307
• GCD of 459, 364, 665, 539
• GCD of 906, 700, 801, 552
• GCD of 520, 991, 611, 315
• GCD of 748, 533, 883, 870

Given numbers are 289, 138, 938, 462
The greatest common divisor of numbers 289, 138, 938, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 138, 938, 462 is 1.

1. What is the GCD of 289, 138, 938, 462?

GCD of given numbers 289, 138, 938, 462 is 1

2. How to calculate the greatest common divisor of 289, 138, 938, 462?

We can find the highest common divisor of 289, 138, 938, 462 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, 938, 462 i.e 1.

3. How can I use the GCD of 289, 138, 938, 462Calculator?

Out the numbers 289, 138, 938, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.