GCD of 548, 135, 559, 900 Calculator

Given Input numbers are 548, 135, 559, 900

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 135 :

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

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

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (548, 135, 559, 900) = 1.

Given numbers are 548, 135, 559, 900

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

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

Prime factors of 559 are 13 x 43

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 548, 135, 559, 900

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

Apply this formula for all numbers.

Step1:

LCM(548, 135) = 73980

GCD(548, 135) = ( 548 x 135 ) / 73980

= 548 / 135

= 548

Step2:

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

= 1 / 559

= 1

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 548, 135, 559, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 589, 658, 518
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Given numbers are 548, 135, 559, 900
The greatest common divisor of numbers 548, 135, 559, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 135, 559, 900 is 1.

1. What is the GCD of 548, 135, 559, 900?

GCD of given numbers 548, 135, 559, 900 is 1

2. How to calculate the greatest common divisor of 548, 135, 559, 900?

We can find the highest common divisor of 548, 135, 559, 900 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 548, 135, 559, 900 i.e 1.

3. How can I use the GCD of 548, 135, 559, 900Calculator?

Out the numbers 548, 135, 559, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.