GCD of 870, 969, 297, 213 Calculator

Given Input numbers are 870, 969, 297, 213

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (870, 969, 297, 213) = 3.

Given numbers are 870, 969, 297, 213

The list of prime factors of all numbers are

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

Prime factors of 969 are 3 x 17 x 19

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 870, 969, 297, 213 is 3.

Given numbers are 870, 969, 297, 213

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

Apply this formula for all numbers.

Step1:

LCM(870, 969) = 281010

GCD(870, 969) = ( 870 x 969 ) / 281010

= 870 / 969

= 870

Step2:

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

= 3 / 297

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 870, 969, 297, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 306, 263, 733
• GCD of 865, 922, 539, 849
• GCD of 708, 508, 361, 438
• GCD of 306, 377, 217, 951
• GCD of 218, 337, 604, 685

Given numbers are 870, 969, 297, 213
The greatest common divisor of numbers 870, 969, 297, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 969, 297, 213 is 3.

1. What is the GCD of 870, 969, 297, 213?

GCD of given numbers 870, 969, 297, 213 is 3

2. How to calculate the greatest common divisor of 870, 969, 297, 213?

We can find the highest common divisor of 870, 969, 297, 213 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, 969, 297, 213 i.e 3.

3. How can I use the GCD of 870, 969, 297, 213Calculator?

Out the numbers 870, 969, 297, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.