GCD of 909, 198, 492, 957 Calculator

Given Input numbers are 909, 198, 492, 957

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 957 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (909, 198, 492, 957) = 3.

Given numbers are 909, 198, 492, 957

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

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

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 957 are 3 x 11 x 29

The highest common occurrence is 3¹

Therefore, GCD of 909, 198, 492, 957 is 3.

Given numbers are 909, 198, 492, 957

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

Apply this formula for all numbers.

Step1:

LCM(909, 198) = 19998

GCD(909, 198) = ( 909 x 198 ) / 19998

= 909 / 198

= 909

Step2:

LCM(9, 492) = 1476

GCD(9, 492) = ( 9 x 492 ) / 1476

= 9 / 492

= 9

Step3:

LCM(3, 957) = 957

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

= 3 / 957

= 3

So, Greatest Common Divisor of 909, 198, 492, 957 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 459, 904, 267
• GCD of 225, 535, 151, 132
• GCD of 550, 175, 428, 893
• GCD of 822, 439, 431, 862
• GCD of 111, 786, 801, 868

Given numbers are 909, 198, 492, 957
The greatest common divisor of numbers 909, 198, 492, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 198, 492, 957 is 3.

1. What is the GCD of 909, 198, 492, 957?

GCD of given numbers 909, 198, 492, 957 is 3

2. How to calculate the greatest common divisor of 909, 198, 492, 957?

We can find the highest common divisor of 909, 198, 492, 957 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 909, 198, 492, 957 i.e 3.

3. How can I use the GCD of 909, 198, 492, 957Calculator?

Out the numbers 909, 198, 492, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.