GCD of 549, 471, 354, 135 Calculator

Given Input numbers are 549, 471, 354, 135

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

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (549, 471, 354, 135) = 3.

Given numbers are 549, 471, 354, 135

The list of prime factors of all numbers are

Prime factors of 549 are 3 x 3 x 61

Prime factors of 471 are 3 x 157

Prime factors of 354 are 2 x 3 x 59

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 549, 471, 354, 135 is 3.

Given numbers are 549, 471, 354, 135

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

Apply this formula for all numbers.

Step1:

LCM(549, 471) = 86193

GCD(549, 471) = ( 549 x 471 ) / 86193

= 549 / 471

= 549

Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

Step3:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

So, Greatest Common Divisor of 549, 471, 354, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 273, 999, 289
• GCD of 978, 857, 377, 158
• GCD of 689, 191, 851, 357
• GCD of 265, 240, 429, 178
• GCD of 863, 673, 956, 191

Given numbers are 549, 471, 354, 135
The greatest common divisor of numbers 549, 471, 354, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 549, 471, 354, 135 is 3.

1. What is the GCD of 549, 471, 354, 135?

GCD of given numbers 549, 471, 354, 135 is 3

2. How to calculate the greatest common divisor of 549, 471, 354, 135?

We can find the highest common divisor of 549, 471, 354, 135 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 549, 471, 354, 135 i.e 3.

3. How can I use the GCD of 549, 471, 354, 135Calculator?

Out the numbers 549, 471, 354, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.