GCD of 238, 260, 594, 298 Calculator

Given Input numbers are 238, 260, 594, 298

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (238, 260, 594, 298) = 2.

Given numbers are 238, 260, 594, 298

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 260 are 2 x 2 x 5 x 13

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

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 238, 260, 594, 298 is 2.

Given numbers are 238, 260, 594, 298

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

Apply this formula for all numbers.

Step1:

LCM(238, 260) = 30940

GCD(238, 260) = ( 238 x 260 ) / 30940

= 238 / 260

= 238

Step2:

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

= 2 / 594

= 2

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 238, 260, 594, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 817, 213, 385
• GCD of 106, 804, 209, 750
• GCD of 611, 564, 313, 363
• GCD of 123, 943, 255, 143
• GCD of 696, 402, 781, 807

Given numbers are 238, 260, 594, 298
The greatest common divisor of numbers 238, 260, 594, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 260, 594, 298 is 2.

1. What is the GCD of 238, 260, 594, 298?

GCD of given numbers 238, 260, 594, 298 is 2

2. How to calculate the greatest common divisor of 238, 260, 594, 298?

We can find the highest common divisor of 238, 260, 594, 298 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 238, 260, 594, 298 i.e 2.

3. How can I use the GCD of 238, 260, 594, 298Calculator?

Out the numbers 238, 260, 594, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.