GCD of 765, 393, 735, 282 Calculator

Given Input numbers are 765, 393, 735, 282

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (765, 393, 735, 282) = 3.

Given numbers are 765, 393, 735, 282

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 393 are 3 x 131

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

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 765, 393, 735, 282 is 3.

Given numbers are 765, 393, 735, 282

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

Apply this formula for all numbers.

Step1:

LCM(765, 393) = 100215

GCD(765, 393) = ( 765 x 393 ) / 100215

= 765 / 393

= 765

Step2:

LCM(3, 735) = 735

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

= 3 / 735

= 3

Step3:

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

= 3 / 282

= 3

So, Greatest Common Divisor of 765, 393, 735, 282 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 379, 324, 501
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• GCD of 307, 886, 335, 577
• GCD of 912, 628, 160, 649
• GCD of 963, 797, 375, 877

Given numbers are 765, 393, 735, 282
The greatest common divisor of numbers 765, 393, 735, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 393, 735, 282 is 3.

1. What is the GCD of 765, 393, 735, 282?

GCD of given numbers 765, 393, 735, 282 is 3

2. How to calculate the greatest common divisor of 765, 393, 735, 282?

We can find the highest common divisor of 765, 393, 735, 282 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 765, 393, 735, 282 i.e 3.

3. How can I use the GCD of 765, 393, 735, 282Calculator?

Out the numbers 765, 393, 735, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.