GCD of 745, 417, 738, 200 Calculator

Given Input numbers are 745, 417, 738, 200

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

GCD of numbers is the greatest common divisor

So, the GCD (745, 417, 738, 200) = 1.

Given numbers are 745, 417, 738, 200

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 417 are 3 x 139

Prime factors of 738 are 2 x 3 x 3 x 41

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

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

Given numbers are 745, 417, 738, 200

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

Apply this formula for all numbers.

Step1:

LCM(745, 417) = 310665

GCD(745, 417) = ( 745 x 417 ) / 310665

= 745 / 417

= 745

Step2:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 745, 417, 738, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 263, 710, 225
• GCD of 674, 417, 744, 571
• GCD of 192, 759, 626, 624
• GCD of 231, 174, 388, 856
• GCD of 971, 473, 118, 505

Given numbers are 745, 417, 738, 200
The greatest common divisor of numbers 745, 417, 738, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 417, 738, 200 is 1.

1. What is the GCD of 745, 417, 738, 200?

GCD of given numbers 745, 417, 738, 200 is 1

2. How to calculate the greatest common divisor of 745, 417, 738, 200?

We can find the highest common divisor of 745, 417, 738, 200 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 745, 417, 738, 200 i.e 1.

3. How can I use the GCD of 745, 417, 738, 200Calculator?

Out the numbers 745, 417, 738, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.