GCD of 834, 200, 742, 257 Calculator

Given Input numbers are 834, 200, 742, 257

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

GCD of numbers is the greatest common divisor

So, the GCD (834, 200, 742, 257) = 1.

Given numbers are 834, 200, 742, 257

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 257 are 257

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

Given numbers are 834, 200, 742, 257

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

Apply this formula for all numbers.

Step1:

LCM(834, 200) = 83400

GCD(834, 200) = ( 834 x 200 ) / 83400

= 834 / 200

= 834

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 257) = 514

GCD(2, 257) = ( 2 x 257 ) / 514

= 2 / 257

= 2

So, Greatest Common Divisor of 834, 200, 742, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 637, 467, 414
• GCD of 967, 450, 320, 411
• GCD of 481, 666, 393, 522
• GCD of 906, 122, 547, 401
• GCD of 838, 833, 772, 412

Given numbers are 834, 200, 742, 257
The greatest common divisor of numbers 834, 200, 742, 257 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 200, 742, 257 is 1.

1. What is the GCD of 834, 200, 742, 257?

GCD of given numbers 834, 200, 742, 257 is 1

2. How to calculate the greatest common divisor of 834, 200, 742, 257?

We can find the highest common divisor of 834, 200, 742, 257 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 834, 200, 742, 257 i.e 1.

3. How can I use the GCD of 834, 200, 742, 257Calculator?

Out the numbers 834, 200, 742, 257 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.