GCD of 675, 435, 735, 468 Calculator

Given Input numbers are 675, 435, 735, 468

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (675, 435, 735, 468) = 3.

Given numbers are 675, 435, 735, 468

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 435 are 3 x 5 x 29

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 675, 435, 735, 468 is 3.

Given numbers are 675, 435, 735, 468

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

Apply this formula for all numbers.

Step1:

LCM(675, 435) = 19575

GCD(675, 435) = ( 675 x 435 ) / 19575

= 675 / 435

= 675

Step2:

LCM(15, 735) = 735

GCD(15, 735) = ( 15 x 735 ) / 735

= 15 / 735

= 15

Step3:

LCM(15, 468) = 2340

GCD(15, 468) = ( 15 x 468 ) / 2340

= 15 / 468

= 15

So, Greatest Common Divisor of 675, 435, 735, 468 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 120, 887, 887
• GCD of 406, 641, 527, 932
• GCD of 290, 247, 143, 157
• GCD of 195, 420, 470, 921
• GCD of 365, 595, 691, 118

Given numbers are 675, 435, 735, 468
The greatest common divisor of numbers 675, 435, 735, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 435, 735, 468 is 3.

1. What is the GCD of 675, 435, 735, 468?

GCD of given numbers 675, 435, 735, 468 is 3

2. How to calculate the greatest common divisor of 675, 435, 735, 468?

We can find the highest common divisor of 675, 435, 735, 468 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 675, 435, 735, 468 i.e 3.

3. How can I use the GCD of 675, 435, 735, 468Calculator?

Out the numbers 675, 435, 735, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.