GCD of 168, 645, 735 Calculator

Given Input numbers are 168, 645, 735

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

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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 (168, 645, 735) = 3.

Given numbers are 168, 645, 735

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

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

The highest common occurrence is 3¹

Therefore, GCD of 168, 645, 735 is 3.

Given numbers are 168, 645, 735

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

Apply this formula for all numbers.

Step1:

LCM(168, 645) = 36120

GCD(168, 645) = ( 168 x 645 ) / 36120

= 168 / 645

= 168

Step2:

LCM(3, 735) = 735

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

= 3 / 735

= 3

So, Greatest Common Divisor of 168, 645, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 380, 218
• GCD of 544, 927, 932
• GCD of 558, 371, 135
• GCD of 563, 237, 598
• GCD of 756, 241, 801

Given numbers are 168, 645, 735
The greatest common divisor of numbers 168, 645, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 645, 735 is 3.

1. What is the GCD of 168, 645, 735?

GCD of given numbers 168, 645, 735 is 3

2. How to calculate the greatest common divisor of 168, 645, 735?

We can find the highest common divisor of 168, 645, 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 168, 645, 735 i.e 3.

3. How can I use the GCD of 168, 645, 735Calculator?

Out the numbers 168, 645, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.