GCD of 735, 150, 309, 813 Calculator

Given Input numbers are 735, 150, 309, 813

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (735, 150, 309, 813) = 3.

Given numbers are 735, 150, 309, 813

The list of prime factors of all numbers are

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 309 are 3 x 103

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 735, 150, 309, 813 is 3.

Given numbers are 735, 150, 309, 813

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

Apply this formula for all numbers.

Step1:

LCM(735, 150) = 7350

GCD(735, 150) = ( 735 x 150 ) / 7350

= 735 / 150

= 735

Step2:

LCM(15, 309) = 1545

GCD(15, 309) = ( 15 x 309 ) / 1545

= 15 / 309

= 15

Step3:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 735, 150, 309, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 726, 185, 184
• GCD of 333, 297, 226, 551
• GCD of 299, 686, 689, 488
• GCD of 351, 581, 209, 900
• GCD of 233, 452, 641, 690

Given numbers are 735, 150, 309, 813
The greatest common divisor of numbers 735, 150, 309, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 150, 309, 813 is 3.

1. What is the GCD of 735, 150, 309, 813?

GCD of given numbers 735, 150, 309, 813 is 3

2. How to calculate the greatest common divisor of 735, 150, 309, 813?

We can find the highest common divisor of 735, 150, 309, 813 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, 150, 309, 813 i.e 3.

3. How can I use the GCD of 735, 150, 309, 813Calculator?

Out the numbers 735, 150, 309, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.