GCD of 735, 714, 675, 438 Calculator

Given Input numbers are 735, 714, 675, 438

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

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (735, 714, 675, 438) = 3.

Given numbers are 735, 714, 675, 438

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

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

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 735, 714, 675, 438 is 3.

Given numbers are 735, 714, 675, 438

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

Apply this formula for all numbers.

Step1:

LCM(735, 714) = 24990

GCD(735, 714) = ( 735 x 714 ) / 24990

= 735 / 714

= 735

Step2:

LCM(21, 675) = 4725

GCD(21, 675) = ( 21 x 675 ) / 4725

= 21 / 675

= 21

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 735, 714, 675, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 731, 599, 811
• GCD of 749, 252, 980, 180
• GCD of 966, 303, 438, 762
• GCD of 671, 536, 909, 100
• GCD of 146, 772, 395, 372

Given numbers are 735, 714, 675, 438
The greatest common divisor of numbers 735, 714, 675, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 714, 675, 438 is 3.

1. What is the GCD of 735, 714, 675, 438?

GCD of given numbers 735, 714, 675, 438 is 3

2. How to calculate the greatest common divisor of 735, 714, 675, 438?

We can find the highest common divisor of 735, 714, 675, 438 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 735, 714, 675, 438 i.e 3.

3. How can I use the GCD of 735, 714, 675, 438Calculator?

Out the numbers 735, 714, 675, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.