GCD of 548, 550, 598, 824 Calculator

Given Input numbers are 548, 550, 598, 824

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (548, 550, 598, 824) = 2.

Given numbers are 548, 550, 598, 824

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 598 are 2 x 13 x 23

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 548, 550, 598, 824 is 2.

Given numbers are 548, 550, 598, 824

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

Apply this formula for all numbers.

Step1:

LCM(548, 550) = 150700

GCD(548, 550) = ( 548 x 550 ) / 150700

= 548 / 550

= 548

Step2:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 548, 550, 598, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 771, 150, 335
• GCD of 934, 180, 767, 503
• GCD of 917, 802, 478, 806
• GCD of 347, 176, 822, 414
• GCD of 921, 170, 884, 355

Given numbers are 548, 550, 598, 824
The greatest common divisor of numbers 548, 550, 598, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 550, 598, 824 is 2.

1. What is the GCD of 548, 550, 598, 824?

GCD of given numbers 548, 550, 598, 824 is 2

2. How to calculate the greatest common divisor of 548, 550, 598, 824?

We can find the highest common divisor of 548, 550, 598, 824 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, 550, 598, 824 i.e 2.

3. How can I use the GCD of 548, 550, 598, 824Calculator?

Out the numbers 548, 550, 598, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.