GCD of 849, 735, 432, 480 Calculator

Given Input numbers are 849, 735, 432, 480

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (849, 735, 432, 480) = 3.

Given numbers are 849, 735, 432, 480

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 735 are 3 x 5 x 7 x 7

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 849, 735, 432, 480 is 3.

Given numbers are 849, 735, 432, 480

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

Apply this formula for all numbers.

Step1:

LCM(849, 735) = 208005

GCD(849, 735) = ( 849 x 735 ) / 208005

= 849 / 735

= 849

Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 849, 735, 432, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 433, 862, 917
• GCD of 354, 996, 909, 798
• GCD of 202, 497, 915, 312
• GCD of 561, 899, 642, 382
• GCD of 372, 124, 811, 874

Given numbers are 849, 735, 432, 480
The greatest common divisor of numbers 849, 735, 432, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 735, 432, 480 is 3.

1. What is the GCD of 849, 735, 432, 480?

GCD of given numbers 849, 735, 432, 480 is 3

2. How to calculate the greatest common divisor of 849, 735, 432, 480?

We can find the highest common divisor of 849, 735, 432, 480 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, 735, 432, 480 i.e 3.

3. How can I use the GCD of 849, 735, 432, 480Calculator?

Out the numbers 849, 735, 432, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.