GCD of 489, 572, 278, 748 Calculator

Given Input numbers are 489, 572, 278, 748

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (489, 572, 278, 748) = 1.

Given numbers are 489, 572, 278, 748

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 278 are 2 x 139

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 489, 572, 278, 748

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

Apply this formula for all numbers.

Step1:

LCM(489, 572) = 279708

GCD(489, 572) = ( 489 x 572 ) / 279708

= 489 / 572

= 489

Step2:

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

= 1 / 278

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 489, 572, 278, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 981, 419, 784
• GCD of 978, 107, 842, 512
• GCD of 158, 433, 738, 915
• GCD of 707, 380, 863, 705
• GCD of 504, 466, 633, 118

Given numbers are 489, 572, 278, 748
The greatest common divisor of numbers 489, 572, 278, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 572, 278, 748 is 1.

1. What is the GCD of 489, 572, 278, 748?

GCD of given numbers 489, 572, 278, 748 is 1

2. How to calculate the greatest common divisor of 489, 572, 278, 748?

We can find the highest common divisor of 489, 572, 278, 748 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 489, 572, 278, 748 i.e 1.

3. How can I use the GCD of 489, 572, 278, 748Calculator?

Out the numbers 489, 572, 278, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.