GCD of 200, 343, 347, 489 Calculator

Given Input numbers are 200, 343, 347, 489

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (200, 343, 347, 489) = 1.

Given numbers are 200, 343, 347, 489

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 343 are 7 x 7 x 7

Prime factors of 347 are 347

Prime factors of 489 are 3 x 163

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

Given numbers are 200, 343, 347, 489

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

Apply this formula for all numbers.

Step1:

LCM(200, 343) = 68600

GCD(200, 343) = ( 200 x 343 ) / 68600

= 200 / 343

= 200

Step2:

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

= 1 / 347

= 1

Step3:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

So, Greatest Common Divisor of 200, 343, 347, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 228, 709, 952
• GCD of 189, 962, 536, 398
• GCD of 909, 974, 611, 399
• GCD of 665, 905, 529, 680
• GCD of 977, 205, 942, 894

Given numbers are 200, 343, 347, 489
The greatest common divisor of numbers 200, 343, 347, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 343, 347, 489 is 1.

1. What is the GCD of 200, 343, 347, 489?

GCD of given numbers 200, 343, 347, 489 is 1

2. How to calculate the greatest common divisor of 200, 343, 347, 489?

We can find the highest common divisor of 200, 343, 347, 489 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, 343, 347, 489 i.e 1.

3. How can I use the GCD of 200, 343, 347, 489Calculator?

Out the numbers 200, 343, 347, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.