GCD of 826, 462, 138, 530 Calculator

Given Input numbers are 826, 462, 138, 530

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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

Divisors of 138 :

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

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

GCD of numbers is the greatest common divisor

So, the GCD (826, 462, 138, 530) = 2.

Given numbers are 826, 462, 138, 530

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 530 are 2 x 5 x 53

The highest common occurrence is 2¹

Therefore, GCD of 826, 462, 138, 530 is 2.

Given numbers are 826, 462, 138, 530

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

Apply this formula for all numbers.

Step1:

LCM(826, 462) = 27258

GCD(826, 462) = ( 826 x 462 ) / 27258

= 826 / 462

= 826

Step2:

LCM(14, 138) = 966

GCD(14, 138) = ( 14 x 138 ) / 966

= 14 / 138

= 14

Step3:

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

= 2 / 530

= 2

So, Greatest Common Divisor of 826, 462, 138, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 355, 938, 295
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Given numbers are 826, 462, 138, 530
The greatest common divisor of numbers 826, 462, 138, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 462, 138, 530 is 2.

1. What is the GCD of 826, 462, 138, 530?

GCD of given numbers 826, 462, 138, 530 is 2

2. How to calculate the greatest common divisor of 826, 462, 138, 530?

We can find the highest common divisor of 826, 462, 138, 530 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 826, 462, 138, 530 i.e 2.

3. How can I use the GCD of 826, 462, 138, 530Calculator?

Out the numbers 826, 462, 138, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.