GCD of 594, 198, 920, 748 Calculator

Given Input numbers are 594, 198, 920, 748

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

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (594, 198, 920, 748) = 2.

Given numbers are 594, 198, 920, 748

The list of prime factors of all numbers are

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 594, 198, 920, 748 is 2.

Given numbers are 594, 198, 920, 748

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

Apply this formula for all numbers.

Step1:

LCM(594, 198) = 594

GCD(594, 198) = ( 594 x 198 ) / 594

= 594 / 198

= 594

Step2:

LCM(198, 920) = 91080

GCD(198, 920) = ( 198 x 920 ) / 91080

= 198 / 920

= 198

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 594, 198, 920, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 514, 302, 614
• GCD of 768, 347, 514, 232
• GCD of 212, 549, 836, 893
• GCD of 489, 291, 589, 194
• GCD of 266, 166, 599, 269

Given numbers are 594, 198, 920, 748
The greatest common divisor of numbers 594, 198, 920, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 198, 920, 748 is 2.

1. What is the GCD of 594, 198, 920, 748?

GCD of given numbers 594, 198, 920, 748 is 2

2. How to calculate the greatest common divisor of 594, 198, 920, 748?

We can find the highest common divisor of 594, 198, 920, 748 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 594, 198, 920, 748 i.e 2.

3. How can I use the GCD of 594, 198, 920, 748Calculator?

Out the numbers 594, 198, 920, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.