GCD of 870, 933, 369, 270 Calculator

Given Input numbers are 870, 933, 369, 270

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (870, 933, 369, 270) = 3.

Given numbers are 870, 933, 369, 270

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 933 are 3 x 311

Prime factors of 369 are 3 x 3 x 41

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 870, 933, 369, 270 is 3.

Given numbers are 870, 933, 369, 270

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

Apply this formula for all numbers.

Step1:

LCM(870, 933) = 270570

GCD(870, 933) = ( 870 x 933 ) / 270570

= 870 / 933

= 870

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 870, 933, 369, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 131, 776, 408
• GCD of 569, 822, 942, 217
• GCD of 210, 647, 919, 109
• GCD of 231, 363, 553, 328
• GCD of 762, 729, 980, 309

Given numbers are 870, 933, 369, 270
The greatest common divisor of numbers 870, 933, 369, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 933, 369, 270 is 3.

1. What is the GCD of 870, 933, 369, 270?

GCD of given numbers 870, 933, 369, 270 is 3

2. How to calculate the greatest common divisor of 870, 933, 369, 270?

We can find the highest common divisor of 870, 933, 369, 270 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 870, 933, 369, 270 i.e 3.

3. How can I use the GCD of 870, 933, 369, 270Calculator?

Out the numbers 870, 933, 369, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.