GCD of 868, 698, 584, 234 Calculator

Given Input numbers are 868, 698, 584, 234

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 584 :

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

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (868, 698, 584, 234) = 2.

Given numbers are 868, 698, 584, 234

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 698 are 2 x 349

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

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 868, 698, 584, 234 is 2.

Given numbers are 868, 698, 584, 234

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

Apply this formula for all numbers.

Step1:

LCM(868, 698) = 302932

GCD(868, 698) = ( 868 x 698 ) / 302932

= 868 / 698

= 868

Step2:

LCM(2, 584) = 584

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

= 2 / 584

= 2

Step3:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2

So, Greatest Common Divisor of 868, 698, 584, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 189, 762, 921
• GCD of 703, 494, 804, 549
• GCD of 555, 102, 837, 109
• GCD of 254, 304, 903, 274
• GCD of 671, 129, 987, 732

Given numbers are 868, 698, 584, 234
The greatest common divisor of numbers 868, 698, 584, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 698, 584, 234 is 2.

1. What is the GCD of 868, 698, 584, 234?

GCD of given numbers 868, 698, 584, 234 is 2

2. How to calculate the greatest common divisor of 868, 698, 584, 234?

We can find the highest common divisor of 868, 698, 584, 234 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 868, 698, 584, 234 i.e 2.

3. How can I use the GCD of 868, 698, 584, 234Calculator?

Out the numbers 868, 698, 584, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.