GCD of 656, 630, 460, 824 Calculator

Given Input numbers are 656, 630, 460, 824

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 824 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (656, 630, 460, 824) = 2.

Given numbers are 656, 630, 460, 824

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 656, 630, 460, 824 is 2.

Given numbers are 656, 630, 460, 824

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

Apply this formula for all numbers.

Step1:

LCM(656, 630) = 206640

GCD(656, 630) = ( 656 x 630 ) / 206640

= 656 / 630

= 656

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 656, 630, 460, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 878, 969, 312
• GCD of 438, 575, 280, 277
• GCD of 752, 917, 601, 409
• GCD of 131, 233, 694, 191
• GCD of 946, 178, 875, 364

Given numbers are 656, 630, 460, 824
The greatest common divisor of numbers 656, 630, 460, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 630, 460, 824 is 2.

1. What is the GCD of 656, 630, 460, 824?

GCD of given numbers 656, 630, 460, 824 is 2

2. How to calculate the greatest common divisor of 656, 630, 460, 824?

We can find the highest common divisor of 656, 630, 460, 824 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 656, 630, 460, 824 i.e 2.

3. How can I use the GCD of 656, 630, 460, 824Calculator?

Out the numbers 656, 630, 460, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.