GCD of 867, 699, 273, 144 Calculator

Given Input numbers are 867, 699, 273, 144

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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 (867, 699, 273, 144) = 3.

Given numbers are 867, 699, 273, 144

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 699 are 3 x 233

Prime factors of 273 are 3 x 7 x 13

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 867, 699, 273, 144 is 3.

Given numbers are 867, 699, 273, 144

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

Apply this formula for all numbers.

Step1:

LCM(867, 699) = 202011

GCD(867, 699) = ( 867 x 699 ) / 202011

= 867 / 699

= 867

Step2:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3

Step3:

LCM(3, 144) = 144

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

= 3 / 144

= 3

So, Greatest Common Divisor of 867, 699, 273, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 763, 135, 288
• GCD of 382, 410, 349, 187
• GCD of 546, 263, 718, 614
• GCD of 155, 662, 455, 696
• GCD of 457, 606, 695, 143

Given numbers are 867, 699, 273, 144
The greatest common divisor of numbers 867, 699, 273, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 699, 273, 144 is 3.

1. What is the GCD of 867, 699, 273, 144?

GCD of given numbers 867, 699, 273, 144 is 3

2. How to calculate the greatest common divisor of 867, 699, 273, 144?

We can find the highest common divisor of 867, 699, 273, 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 867, 699, 273, 144 i.e 3.

3. How can I use the GCD of 867, 699, 273, 144Calculator?

Out the numbers 867, 699, 273, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.