GCD of 824, 778, 122, 400 Calculator

Given Input numbers are 824, 778, 122, 400

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 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (824, 778, 122, 400) = 2.

Given numbers are 824, 778, 122, 400

The list of prime factors of all numbers are

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

Prime factors of 778 are 2 x 389

Prime factors of 122 are 2 x 61

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 824, 778, 122, 400 is 2.

Given numbers are 824, 778, 122, 400

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

Apply this formula for all numbers.

Step1:

LCM(824, 778) = 320536

GCD(824, 778) = ( 824 x 778 ) / 320536

= 824 / 778

= 824

Step2:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 824, 778, 122, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 587, 786, 453
• GCD of 631, 116, 424, 878
• GCD of 571, 953, 343, 977
• GCD of 261, 355, 337, 185
• GCD of 141, 440, 252, 352

Given numbers are 824, 778, 122, 400
The greatest common divisor of numbers 824, 778, 122, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 778, 122, 400 is 2.

1. What is the GCD of 824, 778, 122, 400?

GCD of given numbers 824, 778, 122, 400 is 2

2. How to calculate the greatest common divisor of 824, 778, 122, 400?

We can find the highest common divisor of 824, 778, 122, 400 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, 778, 122, 400 i.e 2.

3. How can I use the GCD of 824, 778, 122, 400Calculator?

Out the numbers 824, 778, 122, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.