GCD of 822, 384, 560, 124 Calculator

Given Input numbers are 822, 384, 560, 124

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

Divisors of 822 :

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

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

GCD of numbers is the greatest common divisor

So, the GCD (822, 384, 560, 124) = 2.

Given numbers are 822, 384, 560, 124

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 124 are 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 822, 384, 560, 124 is 2.

Given numbers are 822, 384, 560, 124

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

Apply this formula for all numbers.

Step1:

LCM(822, 384) = 52608

GCD(822, 384) = ( 822 x 384 ) / 52608

= 822 / 384

= 822

Step2:

LCM(6, 560) = 1680

GCD(6, 560) = ( 6 x 560 ) / 1680

= 6 / 560

= 6

Step3:

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

= 2 / 124

= 2

So, Greatest Common Divisor of 822, 384, 560, 124 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 321, 593, 323
• GCD of 345, 165, 300, 645
• GCD of 661, 890, 252, 895
• GCD of 498, 104, 270, 543
• GCD of 571, 673, 161, 988

Given numbers are 822, 384, 560, 124
The greatest common divisor of numbers 822, 384, 560, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 384, 560, 124 is 2.

1. What is the GCD of 822, 384, 560, 124?

GCD of given numbers 822, 384, 560, 124 is 2

2. How to calculate the greatest common divisor of 822, 384, 560, 124?

We can find the highest common divisor of 822, 384, 560, 124 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 822, 384, 560, 124 i.e 2.

3. How can I use the GCD of 822, 384, 560, 124Calculator?

Out the numbers 822, 384, 560, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.