GCD of 524, 880, 309, 144 Calculator

Given Input numbers are 524, 880, 309, 144

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 (524, 880, 309, 144) = 1.

Given numbers are 524, 880, 309, 144

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 309 are 3 x 103

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 524, 880, 309, 144

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

Apply this formula for all numbers.

Step1:

LCM(524, 880) = 115280

GCD(524, 880) = ( 524 x 880 ) / 115280

= 524 / 880

= 524

Step2:

LCM(4, 309) = 1236

GCD(4, 309) = ( 4 x 309 ) / 1236

= 4 / 309

= 4

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 524, 880, 309, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 355, 947, 204
• GCD of 254, 256, 319, 439
• GCD of 526, 962, 523, 154
• GCD of 155, 864, 878, 940
• GCD of 658, 204, 823, 543

Given numbers are 524, 880, 309, 144
The greatest common divisor of numbers 524, 880, 309, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 880, 309, 144 is 1.

1. What is the GCD of 524, 880, 309, 144?

GCD of given numbers 524, 880, 309, 144 is 1

2. How to calculate the greatest common divisor of 524, 880, 309, 144?

We can find the highest common divisor of 524, 880, 309, 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 524, 880, 309, 144 i.e 1.

3. How can I use the GCD of 524, 880, 309, 144Calculator?

Out the numbers 524, 880, 309, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.