GCD of 454, 792, 160, 462 Calculator

Given Input numbers are 454, 792, 160, 462

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

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 (454, 792, 160, 462) = 2.

Given numbers are 454, 792, 160, 462

The list of prime factors of all numbers are

Prime factors of 454 are 2 x 227

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 454, 792, 160, 462 is 2.

Given numbers are 454, 792, 160, 462

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

Apply this formula for all numbers.

Step1:

LCM(454, 792) = 179784

GCD(454, 792) = ( 454 x 792 ) / 179784

= 454 / 792

= 454

Step2:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 454, 792, 160, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 954, 156, 100
• GCD of 602, 737, 588, 900
• GCD of 307, 698, 169, 672
• GCD of 864, 219, 299, 115
• GCD of 672, 497, 214, 200

Given numbers are 454, 792, 160, 462
The greatest common divisor of numbers 454, 792, 160, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 454, 792, 160, 462 is 2.

1. What is the GCD of 454, 792, 160, 462?

GCD of given numbers 454, 792, 160, 462 is 2

2. How to calculate the greatest common divisor of 454, 792, 160, 462?

We can find the highest common divisor of 454, 792, 160, 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 454, 792, 160, 462 i.e 2.

3. How can I use the GCD of 454, 792, 160, 462Calculator?

Out the numbers 454, 792, 160, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.