GCD of 133, 171, 364, 898 Calculator

Given Input numbers are 133, 171, 364, 898

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 898 :

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

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (133, 171, 364, 898) = 1.

Given numbers are 133, 171, 364, 898

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 171 are 3 x 3 x 19

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 898 are 2 x 449

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

Given numbers are 133, 171, 364, 898

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

Apply this formula for all numbers.

Step1:

LCM(133, 171) = 1197

GCD(133, 171) = ( 133 x 171 ) / 1197

= 133 / 171

= 133

Step2:

LCM(19, 364) = 6916

GCD(19, 364) = ( 19 x 364 ) / 6916

= 19 / 364

= 19

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 133, 171, 364, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 600, 283, 997
• GCD of 442, 815, 559, 375
• GCD of 136, 941, 588, 330
• GCD of 312, 979, 988, 888
• GCD of 123, 380, 538, 571

Given numbers are 133, 171, 364, 898
The greatest common divisor of numbers 133, 171, 364, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 171, 364, 898 is 1.

1. What is the GCD of 133, 171, 364, 898?

GCD of given numbers 133, 171, 364, 898 is 1

2. How to calculate the greatest common divisor of 133, 171, 364, 898?

We can find the highest common divisor of 133, 171, 364, 898 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 133, 171, 364, 898 i.e 1.

3. How can I use the GCD of 133, 171, 364, 898Calculator?

Out the numbers 133, 171, 364, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.