GCD of 924, 930, 742, 598 Calculator

Given Input numbers are 924, 930, 742, 598

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (924, 930, 742, 598) = 2.

Given numbers are 924, 930, 742, 598

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 742 are 2 x 7 x 53

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 924, 930, 742, 598 is 2.

Given numbers are 924, 930, 742, 598

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

Apply this formula for all numbers.

Step1:

LCM(924, 930) = 143220

GCD(924, 930) = ( 924 x 930 ) / 143220

= 924 / 930

= 924

Step2:

LCM(6, 742) = 2226

GCD(6, 742) = ( 6 x 742 ) / 2226

= 6 / 742

= 6

Step3:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

So, Greatest Common Divisor of 924, 930, 742, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 354, 251, 260
• GCD of 342, 554, 321, 672
• GCD of 566, 453, 740, 463
• GCD of 665, 993, 300, 213
• GCD of 821, 442, 940, 475

Given numbers are 924, 930, 742, 598
The greatest common divisor of numbers 924, 930, 742, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 930, 742, 598 is 2.

1. What is the GCD of 924, 930, 742, 598?

GCD of given numbers 924, 930, 742, 598 is 2

2. How to calculate the greatest common divisor of 924, 930, 742, 598?

We can find the highest common divisor of 924, 930, 742, 598 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 924, 930, 742, 598 i.e 2.

3. How can I use the GCD of 924, 930, 742, 598Calculator?

Out the numbers 924, 930, 742, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.