GCD of 909, 162, 477, 948 Calculator

Given Input numbers are 909, 162, 477, 948

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (909, 162, 477, 948) = 3.

Given numbers are 909, 162, 477, 948

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 477 are 3 x 3 x 53

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 909, 162, 477, 948 is 3.

Given numbers are 909, 162, 477, 948

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

Apply this formula for all numbers.

Step1:

LCM(909, 162) = 16362

GCD(909, 162) = ( 909 x 162 ) / 16362

= 909 / 162

= 909

Step2:

LCM(9, 477) = 477

GCD(9, 477) = ( 9 x 477 ) / 477

= 9 / 477

= 9

Step3:

LCM(9, 948) = 2844

GCD(9, 948) = ( 9 x 948 ) / 2844

= 9 / 948

= 9

So, Greatest Common Divisor of 909, 162, 477, 948 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 947, 439, 447
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Given numbers are 909, 162, 477, 948
The greatest common divisor of numbers 909, 162, 477, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 162, 477, 948 is 3.

1. What is the GCD of 909, 162, 477, 948?

GCD of given numbers 909, 162, 477, 948 is 3

2. How to calculate the greatest common divisor of 909, 162, 477, 948?

We can find the highest common divisor of 909, 162, 477, 948 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, 162, 477, 948 i.e 3.

3. How can I use the GCD of 909, 162, 477, 948Calculator?

Out the numbers 909, 162, 477, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.