GCD of 200, 945, 444, 746 Calculator

Given Input numbers are 200, 945, 444, 746

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (200, 945, 444, 746) = 1.

Given numbers are 200, 945, 444, 746

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 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 746 are 2 x 373

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

Given numbers are 200, 945, 444, 746

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

Apply this formula for all numbers.

Step1:

LCM(200, 945) = 37800

GCD(200, 945) = ( 200 x 945 ) / 37800

= 200 / 945

= 200

Step2:

LCM(5, 444) = 2220

GCD(5, 444) = ( 5 x 444 ) / 2220

= 5 / 444

= 5

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 200, 945, 444, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 466, 779, 317
• GCD of 899, 776, 155, 462
• GCD of 400, 736, 709, 132
• GCD of 615, 259, 953, 292
• GCD of 855, 564, 169, 316

Given numbers are 200, 945, 444, 746
The greatest common divisor of numbers 200, 945, 444, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 945, 444, 746 is 1.

1. What is the GCD of 200, 945, 444, 746?

GCD of given numbers 200, 945, 444, 746 is 1

2. How to calculate the greatest common divisor of 200, 945, 444, 746?

We can find the highest common divisor of 200, 945, 444, 746 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, 945, 444, 746 i.e 1.

3. How can I use the GCD of 200, 945, 444, 746Calculator?

Out the numbers 200, 945, 444, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.