GCD of 849, 468, 960, 435 Calculator

Given Input numbers are 849, 468, 960, 435

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

GCD of numbers is the greatest common divisor

So, the GCD (849, 468, 960, 435) = 3.

Given numbers are 849, 468, 960, 435

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 849, 468, 960, 435 is 3.

Given numbers are 849, 468, 960, 435

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

Apply this formula for all numbers.

Step1:

LCM(849, 468) = 132444

GCD(849, 468) = ( 849 x 468 ) / 132444

= 849 / 468

= 849

Step2:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

Step3:

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

= 3 / 435

= 3

So, Greatest Common Divisor of 849, 468, 960, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 429, 298, 862
• GCD of 666, 798, 281, 425
• GCD of 451, 262, 705, 517
• GCD of 597, 282, 815, 848
• GCD of 369, 750, 818, 242

Given numbers are 849, 468, 960, 435
The greatest common divisor of numbers 849, 468, 960, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 468, 960, 435 is 3.

1. What is the GCD of 849, 468, 960, 435?

GCD of given numbers 849, 468, 960, 435 is 3

2. How to calculate the greatest common divisor of 849, 468, 960, 435?

We can find the highest common divisor of 849, 468, 960, 435 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 849, 468, 960, 435 i.e 3.

3. How can I use the GCD of 849, 468, 960, 435Calculator?

Out the numbers 849, 468, 960, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.