GCD of 918, 147, 231, 558 Calculator

Given Input numbers are 918, 147, 231, 558

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (918, 147, 231, 558) = 3.

Given numbers are 918, 147, 231, 558

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 147 are 3 x 7 x 7

Prime factors of 231 are 3 x 7 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 918, 147, 231, 558 is 3.

Given numbers are 918, 147, 231, 558

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

Apply this formula for all numbers.

Step1:

LCM(918, 147) = 44982

GCD(918, 147) = ( 918 x 147 ) / 44982

= 918 / 147

= 918

Step2:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

Step3:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

So, Greatest Common Divisor of 918, 147, 231, 558 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 707, 851, 546
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Given numbers are 918, 147, 231, 558
The greatest common divisor of numbers 918, 147, 231, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 147, 231, 558 is 3.

1. What is the GCD of 918, 147, 231, 558?

GCD of given numbers 918, 147, 231, 558 is 3

2. How to calculate the greatest common divisor of 918, 147, 231, 558?

We can find the highest common divisor of 918, 147, 231, 558 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 918, 147, 231, 558 i.e 3.

3. How can I use the GCD of 918, 147, 231, 558Calculator?

Out the numbers 918, 147, 231, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.