GCD of 765, 642, 168, 930 Calculator

Given Input numbers are 765, 642, 168, 930

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

GCD of numbers is the greatest common divisor

So, the GCD (765, 642, 168, 930) = 3.

Given numbers are 765, 642, 168, 930

The list of prime factors of all numbers are

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 930 are 2 x 3 x 5 x 31

The highest common occurrence is 3¹

Therefore, GCD of 765, 642, 168, 930 is 3.

Given numbers are 765, 642, 168, 930

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

Apply this formula for all numbers.

Step1:

LCM(765, 642) = 163710

GCD(765, 642) = ( 765 x 642 ) / 163710

= 765 / 642

= 765

Step2:

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

= 3 / 168

= 3

Step3:

LCM(3, 930) = 930

GCD(3, 930) = ( 3 x 930 ) / 930

= 3 / 930

= 3

So, Greatest Common Divisor of 765, 642, 168, 930 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 990, 281, 797
• GCD of 671, 977, 380, 749
• GCD of 586, 338, 289, 539
• GCD of 413, 365, 885, 541
• GCD of 810, 953, 516, 611

Given numbers are 765, 642, 168, 930
The greatest common divisor of numbers 765, 642, 168, 930 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 642, 168, 930 is 3.

1. What is the GCD of 765, 642, 168, 930?

GCD of given numbers 765, 642, 168, 930 is 3

2. How to calculate the greatest common divisor of 765, 642, 168, 930?

We can find the highest common divisor of 765, 642, 168, 930 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, 642, 168, 930 i.e 3.

3. How can I use the GCD of 765, 642, 168, 930Calculator?

Out the numbers 765, 642, 168, 930 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.