GCD of 360, 614, 922, 844 Calculator

Given Input numbers are 360, 614, 922, 844

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (360, 614, 922, 844) = 2.

Given numbers are 360, 614, 922, 844

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 614 are 2 x 307

Prime factors of 922 are 2 x 461

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 360, 614, 922, 844 is 2.

Given numbers are 360, 614, 922, 844

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

Apply this formula for all numbers.

Step1:

LCM(360, 614) = 110520

GCD(360, 614) = ( 360 x 614 ) / 110520

= 360 / 614

= 360

Step2:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 360, 614, 922, 844 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 488, 621, 763
• GCD of 513, 927, 172, 153
• GCD of 490, 972, 240, 434
• GCD of 443, 310, 629, 766
• GCD of 554, 771, 647, 343

Given numbers are 360, 614, 922, 844
The greatest common divisor of numbers 360, 614, 922, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 614, 922, 844 is 2.

1. What is the GCD of 360, 614, 922, 844?

GCD of given numbers 360, 614, 922, 844 is 2

2. How to calculate the greatest common divisor of 360, 614, 922, 844?

We can find the highest common divisor of 360, 614, 922, 844 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 360, 614, 922, 844 i.e 2.

3. How can I use the GCD of 360, 614, 922, 844Calculator?

Out the numbers 360, 614, 922, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.