GCD of 494, 450, 200, 377 Calculator

Given Input numbers are 494, 450, 200, 377

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377

GCD of numbers is the greatest common divisor

So, the GCD (494, 450, 200, 377) = 1.

Given numbers are 494, 450, 200, 377

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 377 are 13 x 29

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

Given numbers are 494, 450, 200, 377

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

Apply this formula for all numbers.

Step1:

LCM(494, 450) = 111150

GCD(494, 450) = ( 494 x 450 ) / 111150

= 494 / 450

= 494

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

= 2 / 377

= 2

So, Greatest Common Divisor of 494, 450, 200, 377 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 343, 501, 249
• GCD of 829, 172, 463, 503
• GCD of 168, 710, 957, 738
• GCD of 799, 151, 514, 154
• GCD of 649, 963, 225, 660

Given numbers are 494, 450, 200, 377
The greatest common divisor of numbers 494, 450, 200, 377 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 450, 200, 377 is 1.

1. What is the GCD of 494, 450, 200, 377?

GCD of given numbers 494, 450, 200, 377 is 1

2. How to calculate the greatest common divisor of 494, 450, 200, 377?

We can find the highest common divisor of 494, 450, 200, 377 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 494, 450, 200, 377 i.e 1.

3. How can I use the GCD of 494, 450, 200, 377Calculator?

Out the numbers 494, 450, 200, 377 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.