GCD of 584, 848, 258, 280 Calculator

Given Input numbers are 584, 848, 258, 280

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

Divisors of 584 :

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

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

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (584, 848, 258, 280) = 2.

Given numbers are 584, 848, 258, 280

The list of prime factors of all numbers are

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

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 258 are 2 x 3 x 43

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 584, 848, 258, 280 is 2.

Given numbers are 584, 848, 258, 280

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

Apply this formula for all numbers.

Step1:

LCM(584, 848) = 61904

GCD(584, 848) = ( 584 x 848 ) / 61904

= 584 / 848

= 584

Step2:

LCM(8, 258) = 1032

GCD(8, 258) = ( 8 x 258 ) / 1032

= 8 / 258

= 8

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 584, 848, 258, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 321, 976, 245
• GCD of 276, 447, 200, 628
• GCD of 448, 764, 575, 922
• GCD of 683, 631, 905, 845
• GCD of 816, 374, 998, 994

Given numbers are 584, 848, 258, 280
The greatest common divisor of numbers 584, 848, 258, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 848, 258, 280 is 2.

1. What is the GCD of 584, 848, 258, 280?

GCD of given numbers 584, 848, 258, 280 is 2

2. How to calculate the greatest common divisor of 584, 848, 258, 280?

We can find the highest common divisor of 584, 848, 258, 280 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 584, 848, 258, 280 i.e 2.

3. How can I use the GCD of 584, 848, 258, 280Calculator?

Out the numbers 584, 848, 258, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.