GCD of 462, 824, 780, 238 Calculator

Given Input numbers are 462, 824, 780, 238

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

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (462, 824, 780, 238) = 2.

Given numbers are 462, 824, 780, 238

The list of prime factors of all numbers are

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

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 462, 824, 780, 238 is 2.

Given numbers are 462, 824, 780, 238

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

Apply this formula for all numbers.

Step1:

LCM(462, 824) = 190344

GCD(462, 824) = ( 462 x 824 ) / 190344

= 462 / 824

= 462

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 462, 824, 780, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 852, 933, 521
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Given numbers are 462, 824, 780, 238
The greatest common divisor of numbers 462, 824, 780, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 824, 780, 238 is 2.

1. What is the GCD of 462, 824, 780, 238?

GCD of given numbers 462, 824, 780, 238 is 2

2. How to calculate the greatest common divisor of 462, 824, 780, 238?

We can find the highest common divisor of 462, 824, 780, 238 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 462, 824, 780, 238 i.e 2.

3. How can I use the GCD of 462, 824, 780, 238Calculator?

Out the numbers 462, 824, 780, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.