GCD of 870, 650, 722, 584 Calculator

Given Input numbers are 870, 650, 722, 584

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

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 (870, 650, 722, 584) = 2.

Given numbers are 870, 650, 722, 584

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 722 are 2 x 19 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 870, 650, 722, 584 is 2.

Given numbers are 870, 650, 722, 584

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

Apply this formula for all numbers.

Step1:

LCM(870, 650) = 56550

GCD(870, 650) = ( 870 x 650 ) / 56550

= 870 / 650

= 870

Step2:

LCM(10, 722) = 3610

GCD(10, 722) = ( 10 x 722 ) / 3610

= 10 / 722

= 10

Step3:

LCM(2, 584) = 584

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

= 2 / 584

= 2

So, Greatest Common Divisor of 870, 650, 722, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 574, 443, 346
• GCD of 984, 554, 289, 778
• GCD of 405, 993, 872, 689
• GCD of 912, 744, 652, 817
• GCD of 430, 479, 471, 403

Given numbers are 870, 650, 722, 584
The greatest common divisor of numbers 870, 650, 722, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 650, 722, 584 is 2.

1. What is the GCD of 870, 650, 722, 584?

GCD of given numbers 870, 650, 722, 584 is 2

2. How to calculate the greatest common divisor of 870, 650, 722, 584?

We can find the highest common divisor of 870, 650, 722, 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 870, 650, 722, 584 i.e 2.

3. How can I use the GCD of 870, 650, 722, 584Calculator?

Out the numbers 870, 650, 722, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.