GCD of 708, 690, 279, 234 Calculator

Given Input numbers are 708, 690, 279, 234

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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 (708, 690, 279, 234) = 3.

Given numbers are 708, 690, 279, 234

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 279 are 3 x 3 x 31

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

The highest common occurrence is 3¹

Therefore, GCD of 708, 690, 279, 234 is 3.

Given numbers are 708, 690, 279, 234

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

Apply this formula for all numbers.

Step1:

LCM(708, 690) = 81420

GCD(708, 690) = ( 708 x 690 ) / 81420

= 708 / 690

= 708

Step2:

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

= 6 / 279

= 6

Step3:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

So, Greatest Common Divisor of 708, 690, 279, 234 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 227, 211, 983
• GCD of 869, 494, 893, 115
• GCD of 206, 290, 577, 465
• GCD of 861, 764, 637, 871
• GCD of 248, 203, 322, 676

Given numbers are 708, 690, 279, 234
The greatest common divisor of numbers 708, 690, 279, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 690, 279, 234 is 3.

1. What is the GCD of 708, 690, 279, 234?

GCD of given numbers 708, 690, 279, 234 is 3

2. How to calculate the greatest common divisor of 708, 690, 279, 234?

We can find the highest common divisor of 708, 690, 279, 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 708, 690, 279, 234 i.e 3.

3. How can I use the GCD of 708, 690, 279, 234Calculator?

Out the numbers 708, 690, 279, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.