GCD of 807, 261, 144, 522 Calculator

Given Input numbers are 807, 261, 144, 522

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (807, 261, 144, 522) = 3.

Given numbers are 807, 261, 144, 522

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

Prime factors of 261 are 3 x 3 x 29

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

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 807, 261, 144, 522 is 3.

Given numbers are 807, 261, 144, 522

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

Apply this formula for all numbers.

Step1:

LCM(807, 261) = 70209

GCD(807, 261) = ( 807 x 261 ) / 70209

= 807 / 261

= 807

Step2:

LCM(3, 144) = 144

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

= 3 / 144

= 3

Step3:

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

= 3 / 522

= 3

So, Greatest Common Divisor of 807, 261, 144, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 497, 262, 131
• GCD of 809, 712, 133, 145
• GCD of 529, 858, 497, 303
• GCD of 917, 854, 346, 721
• GCD of 113, 143, 257, 453

Given numbers are 807, 261, 144, 522
The greatest common divisor of numbers 807, 261, 144, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 261, 144, 522 is 3.

1. What is the GCD of 807, 261, 144, 522?

GCD of given numbers 807, 261, 144, 522 is 3

2. How to calculate the greatest common divisor of 807, 261, 144, 522?

We can find the highest common divisor of 807, 261, 144, 522 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, 261, 144, 522 i.e 3.

3. How can I use the GCD of 807, 261, 144, 522Calculator?

Out the numbers 807, 261, 144, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.