GCD of 898, 200, 132, 509 Calculator

Given Input numbers are 898, 200, 132, 509

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (898, 200, 132, 509) = 1.

Given numbers are 898, 200, 132, 509

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 509 are 509

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

Given numbers are 898, 200, 132, 509

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

Apply this formula for all numbers.

Step1:

LCM(898, 200) = 89800

GCD(898, 200) = ( 898 x 200 ) / 89800

= 898 / 200

= 898

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 898, 200, 132, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 671, 828, 475
• GCD of 354, 900, 632, 246
• GCD of 491, 271, 116, 642
• GCD of 283, 434, 689, 650
• GCD of 728, 798, 922, 482

Given numbers are 898, 200, 132, 509
The greatest common divisor of numbers 898, 200, 132, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 200, 132, 509 is 1.

1. What is the GCD of 898, 200, 132, 509?

GCD of given numbers 898, 200, 132, 509 is 1

2. How to calculate the greatest common divisor of 898, 200, 132, 509?

We can find the highest common divisor of 898, 200, 132, 509 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 898, 200, 132, 509 i.e 1.

3. How can I use the GCD of 898, 200, 132, 509Calculator?

Out the numbers 898, 200, 132, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.