GCD of 234, 741, 699, 591 Calculator

Given Input numbers are 234, 741, 699, 591

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

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

GCD of numbers is the greatest common divisor

So, the GCD (234, 741, 699, 591) = 3.

Given numbers are 234, 741, 699, 591

The list of prime factors of all numbers are

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

Prime factors of 741 are 3 x 13 x 19

Prime factors of 699 are 3 x 233

Prime factors of 591 are 3 x 197

The highest common occurrence is 3¹

Therefore, GCD of 234, 741, 699, 591 is 3.

Given numbers are 234, 741, 699, 591

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

Apply this formula for all numbers.

Step1:

LCM(234, 741) = 4446

GCD(234, 741) = ( 234 x 741 ) / 4446

= 234 / 741

= 234

Step2:

LCM(39, 699) = 9087

GCD(39, 699) = ( 39 x 699 ) / 9087

= 39 / 699

= 39

Step3:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3

So, Greatest Common Divisor of 234, 741, 699, 591 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 567, 105, 815
• GCD of 354, 651, 995, 168
• GCD of 669, 786, 496, 410
• GCD of 234, 239, 229, 461
• GCD of 194, 623, 612, 673

Given numbers are 234, 741, 699, 591
The greatest common divisor of numbers 234, 741, 699, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 741, 699, 591 is 3.

1. What is the GCD of 234, 741, 699, 591?

GCD of given numbers 234, 741, 699, 591 is 3

2. How to calculate the greatest common divisor of 234, 741, 699, 591?

We can find the highest common divisor of 234, 741, 699, 591 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 234, 741, 699, 591 i.e 3.

3. How can I use the GCD of 234, 741, 699, 591Calculator?

Out the numbers 234, 741, 699, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.