GCD of 474, 362, 365, 200 Calculator

Given Input numbers are 474, 362, 365, 200

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

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 (474, 362, 365, 200) = 1.

Given numbers are 474, 362, 365, 200

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 362 are 2 x 181

Prime factors of 365 are 5 x 73

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 474, 362, 365, 200

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

Apply this formula for all numbers.

Step1:

LCM(474, 362) = 85794

GCD(474, 362) = ( 474 x 362 ) / 85794

= 474 / 362

= 474

Step2:

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

= 2 / 365

= 2

Step3:

LCM(1, 200) = 200

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

= 1 / 200

= 1

So, Greatest Common Divisor of 474, 362, 365, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 261, 783, 637
• GCD of 251, 972, 318, 693
• GCD of 924, 745, 509, 118
• GCD of 306, 392, 520, 900
• GCD of 136, 380, 143, 764

Given numbers are 474, 362, 365, 200
The greatest common divisor of numbers 474, 362, 365, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 362, 365, 200 is 1.

1. What is the GCD of 474, 362, 365, 200?

GCD of given numbers 474, 362, 365, 200 is 1

2. How to calculate the greatest common divisor of 474, 362, 365, 200?

We can find the highest common divisor of 474, 362, 365, 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 474, 362, 365, 200 i.e 1.

3. How can I use the GCD of 474, 362, 365, 200Calculator?

Out the numbers 474, 362, 365, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.