GCD of 153, 432, 984, 834 Calculator

Given Input numbers are 153, 432, 984, 834

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 (153, 432, 984, 834) = 3.

Given numbers are 153, 432, 984, 834

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 3¹

Therefore, GCD of 153, 432, 984, 834 is 3.

Given numbers are 153, 432, 984, 834

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

Apply this formula for all numbers.

Step1:

LCM(153, 432) = 7344

GCD(153, 432) = ( 153 x 432 ) / 7344

= 153 / 432

= 153

Step2:

LCM(9, 984) = 2952

GCD(9, 984) = ( 9 x 984 ) / 2952

= 9 / 984

= 9

Step3:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3

So, Greatest Common Divisor of 153, 432, 984, 834 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 940, 664, 668
• GCD of 617, 199, 276, 923
• GCD of 296, 367, 766, 123
• GCD of 259, 589, 821, 124
• GCD of 482, 967, 927, 930

Given numbers are 153, 432, 984, 834
The greatest common divisor of numbers 153, 432, 984, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 432, 984, 834 is 3.

1. What is the GCD of 153, 432, 984, 834?

GCD of given numbers 153, 432, 984, 834 is 3

2. How to calculate the greatest common divisor of 153, 432, 984, 834?

We can find the highest common divisor of 153, 432, 984, 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 153, 432, 984, 834 i.e 3.

3. How can I use the GCD of 153, 432, 984, 834Calculator?

Out the numbers 153, 432, 984, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.