GCD of 345, 200, 774, 898 Calculator

Given Input numbers are 345, 200, 774, 898

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (345, 200, 774, 898) = 1.

Given numbers are 345, 200, 774, 898

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 898 are 2 x 449

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

Given numbers are 345, 200, 774, 898

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

Apply this formula for all numbers.

Step1:

LCM(345, 200) = 13800

GCD(345, 200) = ( 345 x 200 ) / 13800

= 345 / 200

= 345

Step2:

LCM(5, 774) = 3870

GCD(5, 774) = ( 5 x 774 ) / 3870

= 5 / 774

= 5

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 345, 200, 774, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 431, 453, 319
• GCD of 961, 671, 227, 763
• GCD of 773, 549, 309, 913
• GCD of 979, 403, 309, 315
• GCD of 865, 622, 825, 375

Given numbers are 345, 200, 774, 898
The greatest common divisor of numbers 345, 200, 774, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 200, 774, 898 is 1.

1. What is the GCD of 345, 200, 774, 898?

GCD of given numbers 345, 200, 774, 898 is 1

2. How to calculate the greatest common divisor of 345, 200, 774, 898?

We can find the highest common divisor of 345, 200, 774, 898 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 345, 200, 774, 898 i.e 1.

3. How can I use the GCD of 345, 200, 774, 898Calculator?

Out the numbers 345, 200, 774, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.