GCD of 238, 500, 350, 563 Calculator

Given Input numbers are 238, 500, 350, 563

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

GCD of numbers is the greatest common divisor

So, the GCD (238, 500, 350, 563) = 1.

Given numbers are 238, 500, 350, 563

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 563 are 563

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 238, 500, 350, 563

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

Apply this formula for all numbers.

Step1:

LCM(238, 500) = 59500

GCD(238, 500) = ( 238 x 500 ) / 59500

= 238 / 500

= 238

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

= 2 / 563

= 2

So, Greatest Common Divisor of 238, 500, 350, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 103, 470, 122
• GCD of 297, 296, 905, 456
• GCD of 281, 755, 344, 116
• GCD of 602, 718, 579, 666
• GCD of 921, 929, 682, 998

Given numbers are 238, 500, 350, 563
The greatest common divisor of numbers 238, 500, 350, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 500, 350, 563 is 1.

1. What is the GCD of 238, 500, 350, 563?

GCD of given numbers 238, 500, 350, 563 is 1

2. How to calculate the greatest common divisor of 238, 500, 350, 563?

We can find the highest common divisor of 238, 500, 350, 563 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, 500, 350, 563 i.e 1.

3. How can I use the GCD of 238, 500, 350, 563Calculator?

Out the numbers 238, 500, 350, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.