GCD of 716, 524, 238, 822 Calculator

Given Input numbers are 716, 524, 238, 822

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (716, 524, 238, 822) = 2.

Given numbers are 716, 524, 238, 822

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 524 are 2 x 2 x 131

Prime factors of 238 are 2 x 7 x 17

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 716, 524, 238, 822 is 2.

Given numbers are 716, 524, 238, 822

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

Apply this formula for all numbers.

Step1:

LCM(716, 524) = 93796

GCD(716, 524) = ( 716 x 524 ) / 93796

= 716 / 524

= 716

Step2:

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

= 4 / 238

= 4

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 716, 524, 238, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 517, 433, 699
• GCD of 458, 150, 176, 721
• GCD of 772, 178, 623, 453
• GCD of 969, 299, 299, 821
• GCD of 421, 606, 184, 501

Given numbers are 716, 524, 238, 822
The greatest common divisor of numbers 716, 524, 238, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 524, 238, 822 is 2.

1. What is the GCD of 716, 524, 238, 822?

GCD of given numbers 716, 524, 238, 822 is 2

2. How to calculate the greatest common divisor of 716, 524, 238, 822?

We can find the highest common divisor of 716, 524, 238, 822 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 716, 524, 238, 822 i.e 2.

3. How can I use the GCD of 716, 524, 238, 822Calculator?

Out the numbers 716, 524, 238, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.