GCD of 824, 470, 616, 680 Calculator

Given Input numbers are 824, 470, 616, 680

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

Divisors of 824 :

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

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (824, 470, 616, 680) = 2.

Given numbers are 824, 470, 616, 680

The list of prime factors of all numbers are

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 824, 470, 616, 680 is 2.

Given numbers are 824, 470, 616, 680

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

Apply this formula for all numbers.

Step1:

LCM(824, 470) = 193640

GCD(824, 470) = ( 824 x 470 ) / 193640

= 824 / 470

= 824

Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 824, 470, 616, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 167, 736, 908
• GCD of 644, 586, 112, 483
• GCD of 174, 138, 310, 824
• GCD of 449, 531, 545, 373
• GCD of 693, 854, 355, 210

Given numbers are 824, 470, 616, 680
The greatest common divisor of numbers 824, 470, 616, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 470, 616, 680 is 2.

1. What is the GCD of 824, 470, 616, 680?

GCD of given numbers 824, 470, 616, 680 is 2

2. How to calculate the greatest common divisor of 824, 470, 616, 680?

We can find the highest common divisor of 824, 470, 616, 680 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 824, 470, 616, 680 i.e 2.

3. How can I use the GCD of 824, 470, 616, 680Calculator?

Out the numbers 824, 470, 616, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.