GCD of 465, 324, 957, 198 Calculator

Given Input numbers are 465, 324, 957, 198

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (465, 324, 957, 198) = 3.

Given numbers are 465, 324, 957, 198

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 957 are 3 x 11 x 29

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 465, 324, 957, 198 is 3.

Given numbers are 465, 324, 957, 198

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

Apply this formula for all numbers.

Step1:

LCM(465, 324) = 50220

GCD(465, 324) = ( 465 x 324 ) / 50220

= 465 / 324

= 465

Step2:

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

= 3 / 957

= 3

Step3:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

So, Greatest Common Divisor of 465, 324, 957, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 170, 782, 442
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Given numbers are 465, 324, 957, 198
The greatest common divisor of numbers 465, 324, 957, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 324, 957, 198 is 3.

1. What is the GCD of 465, 324, 957, 198?

GCD of given numbers 465, 324, 957, 198 is 3

2. How to calculate the greatest common divisor of 465, 324, 957, 198?

We can find the highest common divisor of 465, 324, 957, 198 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 465, 324, 957, 198 i.e 3.

3. How can I use the GCD of 465, 324, 957, 198Calculator?

Out the numbers 465, 324, 957, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.