GCD of 174, 584, 68, 870 Calculator

Given Input numbers are 174, 584, 68, 870

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 584 :

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

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

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

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

GCD of numbers is the greatest common divisor

So, the GCD (174, 584, 68, 870) = 2.

Given numbers are 174, 584, 68, 870

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

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

Prime factors of 68 are 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 174, 584, 68, 870 is 2.

Given numbers are 174, 584, 68, 870

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

Apply this formula for all numbers.

Step1:

LCM(174, 584) = 50808

GCD(174, 584) = ( 174 x 584 ) / 50808

= 174 / 584

= 174

Step2:

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

= 2 / 68

= 2

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 174, 584, 68, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 849, 48, 637
• GCD of 998, 699, 12, 979
• GCD of 958, 676, 98, 515
• GCD of 594, 428, 49, 911
• GCD of 210, 318, 22, 768

Given numbers are 174, 584, 68, 870
The greatest common divisor of numbers 174, 584, 68, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 584, 68, 870 is 2.

1. What is the GCD of 174, 584, 68, 870?

GCD of given numbers 174, 584, 68, 870 is 2

2. How to calculate the greatest common divisor of 174, 584, 68, 870?

We can find the highest common divisor of 174, 584, 68, 870 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 174, 584, 68, 870 i.e 2.

3. How can I use the GCD of 174, 584, 68, 870Calculator?

Out the numbers 174, 584, 68, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.