GCD of 338, 360, 584, 610 Calculator

Given Input numbers are 338, 360, 584, 610

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

GCD of numbers is the greatest common divisor

So, the GCD (338, 360, 584, 610) = 2.

Given numbers are 338, 360, 584, 610

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 610 are 2 x 5 x 61

The highest common occurrence is 2¹

Therefore, GCD of 338, 360, 584, 610 is 2.

Given numbers are 338, 360, 584, 610

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

Apply this formula for all numbers.

Step1:

LCM(338, 360) = 60840

GCD(338, 360) = ( 338 x 360 ) / 60840

= 338 / 360

= 338

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

So, Greatest Common Divisor of 338, 360, 584, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 817, 557, 101
• GCD of 945, 179, 708, 976
• GCD of 592, 345, 345, 861
• GCD of 269, 131, 289, 362
• GCD of 823, 284, 370, 755

Given numbers are 338, 360, 584, 610
The greatest common divisor of numbers 338, 360, 584, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 360, 584, 610 is 2.

1. What is the GCD of 338, 360, 584, 610?

GCD of given numbers 338, 360, 584, 610 is 2

2. How to calculate the greatest common divisor of 338, 360, 584, 610?

We can find the highest common divisor of 338, 360, 584, 610 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 338, 360, 584, 610 i.e 2.

3. How can I use the GCD of 338, 360, 584, 610Calculator?

Out the numbers 338, 360, 584, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.