GCD of 735, 588, 813, 369 Calculator

Given Input numbers are 735, 588, 813, 369

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (735, 588, 813, 369) = 3.

Given numbers are 735, 588, 813, 369

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 813 are 3 x 271

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 735, 588, 813, 369 is 3.

Given numbers are 735, 588, 813, 369

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

Apply this formula for all numbers.

Step1:

LCM(735, 588) = 2940

GCD(735, 588) = ( 735 x 588 ) / 2940

= 735 / 588

= 735

Step2:

LCM(147, 813) = 39837

GCD(147, 813) = ( 147 x 813 ) / 39837

= 147 / 813

= 147

Step3:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

So, Greatest Common Divisor of 735, 588, 813, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 986, 883, 978
• GCD of 119, 607, 291, 642
• GCD of 470, 662, 607, 757
• GCD of 384, 180, 989, 396
• GCD of 380, 833, 920, 534

Given numbers are 735, 588, 813, 369
The greatest common divisor of numbers 735, 588, 813, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 588, 813, 369 is 3.

1. What is the GCD of 735, 588, 813, 369?

GCD of given numbers 735, 588, 813, 369 is 3

2. How to calculate the greatest common divisor of 735, 588, 813, 369?

We can find the highest common divisor of 735, 588, 813, 369 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 735, 588, 813, 369 i.e 3.

3. How can I use the GCD of 735, 588, 813, 369Calculator?

Out the numbers 735, 588, 813, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.