GCD of 200, 577, 238, 313 Calculator

Given Input numbers are 200, 577, 238, 313

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 238 :

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

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (200, 577, 238, 313) = 1.

Given numbers are 200, 577, 238, 313

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 577 are 577

Prime factors of 238 are 2 x 7 x 17

Prime factors of 313 are 313

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

Given numbers are 200, 577, 238, 313

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

Apply this formula for all numbers.

Step1:

LCM(200, 577) = 115400

GCD(200, 577) = ( 200 x 577 ) / 115400

= 200 / 577

= 200

Step2:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 200, 577, 238, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 294, 248, 968
• GCD of 353, 757, 399, 854
• GCD of 239, 899, 114, 385
• GCD of 598, 891, 955, 148
• GCD of 482, 587, 735, 485

Given numbers are 200, 577, 238, 313
The greatest common divisor of numbers 200, 577, 238, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 577, 238, 313 is 1.

1. What is the GCD of 200, 577, 238, 313?

GCD of given numbers 200, 577, 238, 313 is 1

2. How to calculate the greatest common divisor of 200, 577, 238, 313?

We can find the highest common divisor of 200, 577, 238, 313 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 200, 577, 238, 313 i.e 1.

3. How can I use the GCD of 200, 577, 238, 313Calculator?

Out the numbers 200, 577, 238, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.