GCD of 548, 564, 608, 800 Calculator

Given Input numbers are 548, 564, 608, 800

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (548, 564, 608, 800) = 4.

Given numbers are 548, 564, 608, 800

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 548, 564, 608, 800 is 4.

Given numbers are 548, 564, 608, 800

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

Apply this formula for all numbers.

Step1:

LCM(548, 564) = 77268

GCD(548, 564) = ( 548 x 564 ) / 77268

= 548 / 564

= 548

Step2:

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

= 4 / 608

= 4

Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 548, 564, 608, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 841, 659, 230
• GCD of 891, 156, 643, 692
• GCD of 406, 960, 182, 910
• GCD of 531, 228, 861, 249
• GCD of 193, 824, 485, 575

Given numbers are 548, 564, 608, 800
The greatest common divisor of numbers 548, 564, 608, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 564, 608, 800 is 4.

1. What is the GCD of 548, 564, 608, 800?

GCD of given numbers 548, 564, 608, 800 is 4

2. How to calculate the greatest common divisor of 548, 564, 608, 800?

We can find the highest common divisor of 548, 564, 608, 800 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, 564, 608, 800 i.e 4.

3. How can I use the GCD of 548, 564, 608, 800Calculator?

Out the numbers 548, 564, 608, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.