GCD of 704, 493, 131, 200 Calculator

Given Input numbers are 704, 493, 131, 200

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

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 (704, 493, 131, 200) = 1.

Given numbers are 704, 493, 131, 200

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 493 are 17 x 29

Prime factors of 131 are 131

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 704, 493, 131, 200

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

Apply this formula for all numbers.

Step1:

LCM(704, 493) = 347072

GCD(704, 493) = ( 704 x 493 ) / 347072

= 704 / 493

= 704

Step2:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

Step3:

LCM(1, 200) = 200

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

= 1 / 200

= 1

So, Greatest Common Divisor of 704, 493, 131, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 679, 553, 614
• GCD of 549, 333, 222, 472
• GCD of 380, 217, 978, 264
• GCD of 462, 928, 598, 195
• GCD of 401, 366, 955, 617

Given numbers are 704, 493, 131, 200
The greatest common divisor of numbers 704, 493, 131, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 493, 131, 200 is 1.

1. What is the GCD of 704, 493, 131, 200?

GCD of given numbers 704, 493, 131, 200 is 1

2. How to calculate the greatest common divisor of 704, 493, 131, 200?

We can find the highest common divisor of 704, 493, 131, 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 704, 493, 131, 200 i.e 1.

3. How can I use the GCD of 704, 493, 131, 200Calculator?

Out the numbers 704, 493, 131, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.