GCD of 495, 390, 870, 834 Calculator

Given Input numbers are 495, 390, 870, 834

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

GCD of numbers is the greatest common divisor

So, the GCD (495, 390, 870, 834) = 3.

Given numbers are 495, 390, 870, 834

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 390 are 2 x 3 x 5 x 13

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

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 3¹

Therefore, GCD of 495, 390, 870, 834 is 3.

Given numbers are 495, 390, 870, 834

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

Apply this formula for all numbers.

Step1:

LCM(495, 390) = 12870

GCD(495, 390) = ( 495 x 390 ) / 12870

= 495 / 390

= 495

Step2:

LCM(15, 870) = 870

GCD(15, 870) = ( 15 x 870 ) / 870

= 15 / 870

= 15

Step3:

LCM(15, 834) = 4170

GCD(15, 834) = ( 15 x 834 ) / 4170

= 15 / 834

= 15

So, Greatest Common Divisor of 495, 390, 870, 834 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 251, 561, 357
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• GCD of 581, 249, 327, 839
• GCD of 467, 423, 829, 821
• GCD of 347, 758, 175, 297

Given numbers are 495, 390, 870, 834
The greatest common divisor of numbers 495, 390, 870, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 390, 870, 834 is 3.

1. What is the GCD of 495, 390, 870, 834?

GCD of given numbers 495, 390, 870, 834 is 3

2. How to calculate the greatest common divisor of 495, 390, 870, 834?

We can find the highest common divisor of 495, 390, 870, 834 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 495, 390, 870, 834 i.e 3.

3. How can I use the GCD of 495, 390, 870, 834Calculator?

Out the numbers 495, 390, 870, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.