GCD of 348, 303, 828, 735 Calculator

Given Input numbers are 348, 303, 828, 735

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

GCD of numbers is the greatest common divisor

So, the GCD (348, 303, 828, 735) = 3.

Given numbers are 348, 303, 828, 735

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 303 are 3 x 101

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 348, 303, 828, 735 is 3.

Given numbers are 348, 303, 828, 735

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

Apply this formula for all numbers.

Step1:

LCM(348, 303) = 35148

GCD(348, 303) = ( 348 x 303 ) / 35148

= 348 / 303

= 348

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

So, Greatest Common Divisor of 348, 303, 828, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 322, 417, 579
• GCD of 211, 589, 702, 654
• GCD of 262, 559, 487, 537
• GCD of 762, 872, 123, 279
• GCD of 730, 620, 712, 722

Given numbers are 348, 303, 828, 735
The greatest common divisor of numbers 348, 303, 828, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 303, 828, 735 is 3.

1. What is the GCD of 348, 303, 828, 735?

GCD of given numbers 348, 303, 828, 735 is 3

2. How to calculate the greatest common divisor of 348, 303, 828, 735?

We can find the highest common divisor of 348, 303, 828, 735 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 348, 303, 828, 735 i.e 3.

3. How can I use the GCD of 348, 303, 828, 735Calculator?

Out the numbers 348, 303, 828, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.