GCD of 534, 300, 879, 144 Calculator

Given Input numbers are 534, 300, 879, 144

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

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 (534, 300, 879, 144) = 3.

Given numbers are 534, 300, 879, 144

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 879 are 3 x 293

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 534, 300, 879, 144 is 3.

Given numbers are 534, 300, 879, 144

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

Apply this formula for all numbers.

Step1:

LCM(534, 300) = 26700

GCD(534, 300) = ( 534 x 300 ) / 26700

= 534 / 300

= 534

Step2:

LCM(6, 879) = 1758

GCD(6, 879) = ( 6 x 879 ) / 1758

= 6 / 879

= 6

Step3:

LCM(3, 144) = 144

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

= 3 / 144

= 3

So, Greatest Common Divisor of 534, 300, 879, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 543, 137, 493
• GCD of 886, 992, 245, 117
• GCD of 674, 451, 919, 130
• GCD of 777, 421, 582, 836
• GCD of 421, 830, 976, 662

Given numbers are 534, 300, 879, 144
The greatest common divisor of numbers 534, 300, 879, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 300, 879, 144 is 3.

1. What is the GCD of 534, 300, 879, 144?

GCD of given numbers 534, 300, 879, 144 is 3

2. How to calculate the greatest common divisor of 534, 300, 879, 144?

We can find the highest common divisor of 534, 300, 879, 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 534, 300, 879, 144 i.e 3.

3. How can I use the GCD of 534, 300, 879, 144Calculator?

Out the numbers 534, 300, 879, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.