GCD of 824, 636, 142, 784 Calculator

Given Input numbers are 824, 636, 142, 784

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (824, 636, 142, 784) = 2.

Given numbers are 824, 636, 142, 784

The list of prime factors of all numbers are

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

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 142 are 2 x 71

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 824, 636, 142, 784 is 2.

Given numbers are 824, 636, 142, 784

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

Apply this formula for all numbers.

Step1:

LCM(824, 636) = 131016

GCD(824, 636) = ( 824 x 636 ) / 131016

= 824 / 636

= 824

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

So, Greatest Common Divisor of 824, 636, 142, 784 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 579, 134, 863
• GCD of 487, 260, 704, 134
• GCD of 366, 276, 872, 411
• GCD of 828, 912, 784, 970
• GCD of 141, 959, 273, 836

Given numbers are 824, 636, 142, 784
The greatest common divisor of numbers 824, 636, 142, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 636, 142, 784 is 2.

1. What is the GCD of 824, 636, 142, 784?

GCD of given numbers 824, 636, 142, 784 is 2

2. How to calculate the greatest common divisor of 824, 636, 142, 784?

We can find the highest common divisor of 824, 636, 142, 784 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, 636, 142, 784 i.e 2.

3. How can I use the GCD of 824, 636, 142, 784Calculator?

Out the numbers 824, 636, 142, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.