GCD of 302, 968, 800, 462 Calculator

Given Input numbers are 302, 968, 800, 462

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 (302, 968, 800, 462) = 2.

Given numbers are 302, 968, 800, 462

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 302, 968, 800, 462 is 2.

Given numbers are 302, 968, 800, 462

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

Apply this formula for all numbers.

Step1:

LCM(302, 968) = 146168

GCD(302, 968) = ( 302 x 968 ) / 146168

= 302 / 968

= 302

Step2:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

Step3:

LCM(2, 462) = 462

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

= 2 / 462

= 2

So, Greatest Common Divisor of 302, 968, 800, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 895, 716, 964
• GCD of 978, 357, 438, 848
• GCD of 340, 404, 710, 682
• GCD of 717, 689, 656, 217
• GCD of 116, 605, 645, 206

Given numbers are 302, 968, 800, 462
The greatest common divisor of numbers 302, 968, 800, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 968, 800, 462 is 2.

1. What is the GCD of 302, 968, 800, 462?

GCD of given numbers 302, 968, 800, 462 is 2

2. How to calculate the greatest common divisor of 302, 968, 800, 462?

We can find the highest common divisor of 302, 968, 800, 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 302, 968, 800, 462 i.e 2.

3. How can I use the GCD of 302, 968, 800, 462Calculator?

Out the numbers 302, 968, 800, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.