GCD of 807, 840, 483, 144 Calculator

Given Input numbers are 807, 840, 483, 144

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (807, 840, 483, 144) = 3.

Given numbers are 807, 840, 483, 144

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 483 are 3 x 7 x 23

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 807, 840, 483, 144 is 3.

Given numbers are 807, 840, 483, 144

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

Apply this formula for all numbers.

Step1:

LCM(807, 840) = 225960

GCD(807, 840) = ( 807 x 840 ) / 225960

= 807 / 840

= 807

Step2:

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

= 3 / 483

= 3

Step3:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

So, Greatest Common Divisor of 807, 840, 483, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 575, 403, 756
• GCD of 461, 265, 577, 204
• GCD of 825, 815, 113, 817
• GCD of 676, 256, 747, 901
• GCD of 120, 157, 383, 102

Given numbers are 807, 840, 483, 144
The greatest common divisor of numbers 807, 840, 483, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 840, 483, 144 is 3.

1. What is the GCD of 807, 840, 483, 144?

GCD of given numbers 807, 840, 483, 144 is 3

2. How to calculate the greatest common divisor of 807, 840, 483, 144?

We can find the highest common divisor of 807, 840, 483, 144 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 807, 840, 483, 144 i.e 3.

3. How can I use the GCD of 807, 840, 483, 144Calculator?

Out the numbers 807, 840, 483, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.