GCD of 462, 924, 820, 434 Calculator

Given Input numbers are 462, 924, 820, 434

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (462, 924, 820, 434) = 2.

Given numbers are 462, 924, 820, 434

The list of prime factors of all numbers are

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

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 462, 924, 820, 434 is 2.

Given numbers are 462, 924, 820, 434

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

Apply this formula for all numbers.

Step1:

LCM(462, 924) = 924

GCD(462, 924) = ( 462 x 924 ) / 924

= 462 / 924

= 462

Step2:

LCM(462, 820) = 189420

GCD(462, 820) = ( 462 x 820 ) / 189420

= 462 / 820

= 462

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 462, 924, 820, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 368, 271, 866
• GCD of 119, 291, 251, 143
• GCD of 580, 602, 464, 433
• GCD of 991, 159, 712, 584
• GCD of 824, 209, 273, 558

Given numbers are 462, 924, 820, 434
The greatest common divisor of numbers 462, 924, 820, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 924, 820, 434 is 2.

1. What is the GCD of 462, 924, 820, 434?

GCD of given numbers 462, 924, 820, 434 is 2

2. How to calculate the greatest common divisor of 462, 924, 820, 434?

We can find the highest common divisor of 462, 924, 820, 434 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, 924, 820, 434 i.e 2.

3. How can I use the GCD of 462, 924, 820, 434Calculator?

Out the numbers 462, 924, 820, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.