GCD of 554, 510, 80, 584 Calculator

Given Input numbers are 554, 510, 80, 584

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

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (554, 510, 80, 584) = 2.

Given numbers are 554, 510, 80, 584

The list of prime factors of all numbers are

Prime factors of 554 are 2 x 277

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 554, 510, 80, 584 is 2.

Given numbers are 554, 510, 80, 584

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

Apply this formula for all numbers.

Step1:

LCM(554, 510) = 141270

GCD(554, 510) = ( 554 x 510 ) / 141270

= 554 / 510

= 554

Step2:

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

= 2 / 80

= 2

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 554, 510, 80, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 348, 75, 674
• GCD of 584, 843, 53, 727
• GCD of 106, 586, 84, 235
• GCD of 147, 926, 35, 797
• GCD of 431, 746, 63, 989

Given numbers are 554, 510, 80, 584
The greatest common divisor of numbers 554, 510, 80, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 554, 510, 80, 584 is 2.

1. What is the GCD of 554, 510, 80, 584?

GCD of given numbers 554, 510, 80, 584 is 2

2. How to calculate the greatest common divisor of 554, 510, 80, 584?

We can find the highest common divisor of 554, 510, 80, 584 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 554, 510, 80, 584 i.e 2.

3. How can I use the GCD of 554, 510, 80, 584Calculator?

Out the numbers 554, 510, 80, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.