GCD of 532, 488, 238, 314 Calculator

Given Input numbers are 532, 488, 238, 314

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 238 :

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (532, 488, 238, 314) = 2.

Given numbers are 532, 488, 238, 314

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 238 are 2 x 7 x 17

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 532, 488, 238, 314 is 2.

Given numbers are 532, 488, 238, 314

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

Apply this formula for all numbers.

Step1:

LCM(532, 488) = 64904

GCD(532, 488) = ( 532 x 488 ) / 64904

= 532 / 488

= 532

Step2:

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

= 4 / 238

= 4

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 532, 488, 238, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 345, 259, 395
• GCD of 673, 768, 383, 169
• GCD of 547, 442, 199, 300
• GCD of 612, 929, 894, 226
• GCD of 836, 552, 298, 333

Given numbers are 532, 488, 238, 314
The greatest common divisor of numbers 532, 488, 238, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 488, 238, 314 is 2.

1. What is the GCD of 532, 488, 238, 314?

GCD of given numbers 532, 488, 238, 314 is 2

2. How to calculate the greatest common divisor of 532, 488, 238, 314?

We can find the highest common divisor of 532, 488, 238, 314 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 532, 488, 238, 314 i.e 2.

3. How can I use the GCD of 532, 488, 238, 314Calculator?

Out the numbers 532, 488, 238, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.