GCD of 834, 465, 975, 891 Calculator

Given Input numbers are 834, 465, 975, 891

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

Divisors of 834 :

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

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (834, 465, 975, 891) = 3.

Given numbers are 834, 465, 975, 891

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 465 are 3 x 5 x 31

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 834, 465, 975, 891 is 3.

Given numbers are 834, 465, 975, 891

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

Apply this formula for all numbers.

Step1:

LCM(834, 465) = 129270

GCD(834, 465) = ( 834 x 465 ) / 129270

= 834 / 465

= 834

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

Step3:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 834, 465, 975, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 631, 446, 311
• GCD of 783, 966, 958, 928
• GCD of 170, 247, 528, 526
• GCD of 861, 963, 885, 553
• GCD of 947, 708, 938, 667

Given numbers are 834, 465, 975, 891
The greatest common divisor of numbers 834, 465, 975, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 465, 975, 891 is 3.

1. What is the GCD of 834, 465, 975, 891?

GCD of given numbers 834, 465, 975, 891 is 3

2. How to calculate the greatest common divisor of 834, 465, 975, 891?

We can find the highest common divisor of 834, 465, 975, 891 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 834, 465, 975, 891 i.e 3.

3. How can I use the GCD of 834, 465, 975, 891Calculator?

Out the numbers 834, 465, 975, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.