GCD of 374, 200, 486, 370 Calculator

Given Input numbers are 374, 200, 486, 370

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (374, 200, 486, 370) = 2.

Given numbers are 374, 200, 486, 370

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 374, 200, 486, 370 is 2.

Given numbers are 374, 200, 486, 370

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

Apply this formula for all numbers.

Step1:

LCM(374, 200) = 37400

GCD(374, 200) = ( 374 x 200 ) / 37400

= 374 / 200

= 374

Step2:

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

= 2 / 486

= 2

Step3:

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2

So, Greatest Common Divisor of 374, 200, 486, 370 is 2

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Given numbers are 374, 200, 486, 370
The greatest common divisor of numbers 374, 200, 486, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 200, 486, 370 is 2.

1. What is the GCD of 374, 200, 486, 370?

GCD of given numbers 374, 200, 486, 370 is 2

2. How to calculate the greatest common divisor of 374, 200, 486, 370?

We can find the highest common divisor of 374, 200, 486, 370 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 374, 200, 486, 370 i.e 2.

3. How can I use the GCD of 374, 200, 486, 370Calculator?

Out the numbers 374, 200, 486, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.