GCD of 469, 448, 566, 360 Calculator

Given Input numbers are 469, 448, 566, 360

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (469, 448, 566, 360) = 1.

Given numbers are 469, 448, 566, 360

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 566 are 2 x 283

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 469, 448, 566, 360

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

Apply this formula for all numbers.

Step1:

LCM(469, 448) = 30016

GCD(469, 448) = ( 469 x 448 ) / 30016

= 469 / 448

= 469

Step2:

LCM(7, 566) = 3962

GCD(7, 566) = ( 7 x 566 ) / 3962

= 7 / 566

= 7

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 469, 448, 566, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 743, 997, 707
• GCD of 384, 798, 635, 952
• GCD of 737, 876, 892, 780
• GCD of 171, 617, 635, 580
• GCD of 614, 882, 329, 110

Given numbers are 469, 448, 566, 360
The greatest common divisor of numbers 469, 448, 566, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 448, 566, 360 is 1.

1. What is the GCD of 469, 448, 566, 360?

GCD of given numbers 469, 448, 566, 360 is 1

2. How to calculate the greatest common divisor of 469, 448, 566, 360?

We can find the highest common divisor of 469, 448, 566, 360 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 469, 448, 566, 360 i.e 1.

3. How can I use the GCD of 469, 448, 566, 360Calculator?

Out the numbers 469, 448, 566, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.