GCD of 117, 897, 459, 357 Calculator

Given Input numbers are 117, 897, 459, 357

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (117, 897, 459, 357) = 3.

Given numbers are 117, 897, 459, 357

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 897 are 3 x 13 x 23

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 117, 897, 459, 357 is 3.

Given numbers are 117, 897, 459, 357

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

Apply this formula for all numbers.

Step1:

LCM(117, 897) = 2691

GCD(117, 897) = ( 117 x 897 ) / 2691

= 117 / 897

= 117

Step2:

LCM(39, 459) = 5967

GCD(39, 459) = ( 39 x 459 ) / 5967

= 39 / 459

= 39

Step3:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

So, Greatest Common Divisor of 117, 897, 459, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 194, 164, 571
• GCD of 559, 546, 955, 375
• GCD of 995, 791, 188, 801
• GCD of 834, 668, 789, 340
• GCD of 356, 795, 675, 548

Given numbers are 117, 897, 459, 357
The greatest common divisor of numbers 117, 897, 459, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 897, 459, 357 is 3.

1. What is the GCD of 117, 897, 459, 357?

GCD of given numbers 117, 897, 459, 357 is 3

2. How to calculate the greatest common divisor of 117, 897, 459, 357?

We can find the highest common divisor of 117, 897, 459, 357 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 117, 897, 459, 357 i.e 3.

3. How can I use the GCD of 117, 897, 459, 357Calculator?

Out the numbers 117, 897, 459, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.