GCD of 238, 400, 894, 917 Calculator

Given Input numbers are 238, 400, 894, 917

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (238, 400, 894, 917) = 1.

Given numbers are 238, 400, 894, 917

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 894 are 2 x 3 x 149

Prime factors of 917 are 7 x 131

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

Given numbers are 238, 400, 894, 917

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

Apply this formula for all numbers.

Step1:

LCM(238, 400) = 47600

GCD(238, 400) = ( 238 x 400 ) / 47600

= 238 / 400

= 238

Step2:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

Step3:

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

= 2 / 917

= 2

So, Greatest Common Divisor of 238, 400, 894, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 678, 447, 729
• GCD of 152, 430, 755, 621
• GCD of 867, 723, 394, 552
• GCD of 100, 464, 932, 444
• GCD of 593, 688, 123, 473

Given numbers are 238, 400, 894, 917
The greatest common divisor of numbers 238, 400, 894, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 400, 894, 917 is 1.

1. What is the GCD of 238, 400, 894, 917?

GCD of given numbers 238, 400, 894, 917 is 1

2. How to calculate the greatest common divisor of 238, 400, 894, 917?

We can find the highest common divisor of 238, 400, 894, 917 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, 400, 894, 917 i.e 1.

3. How can I use the GCD of 238, 400, 894, 917Calculator?

Out the numbers 238, 400, 894, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.