GCD of 560, 920, 323, 748 Calculator

Given Input numbers are 560, 920, 323, 748

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

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 (560, 920, 323, 748) = 1.

Given numbers are 560, 920, 323, 748

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 323 are 17 x 19

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 560, 920, 323, 748

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

Apply this formula for all numbers.

Step1:

LCM(560, 920) = 12880

GCD(560, 920) = ( 560 x 920 ) / 12880

= 560 / 920

= 560

Step2:

LCM(40, 323) = 12920

GCD(40, 323) = ( 40 x 323 ) / 12920

= 40 / 323

= 40

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 560, 920, 323, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 154, 950, 145
• GCD of 524, 364, 731, 546
• GCD of 391, 456, 414, 927
• GCD of 908, 635, 949, 827
• GCD of 929, 837, 624, 228

Given numbers are 560, 920, 323, 748
The greatest common divisor of numbers 560, 920, 323, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 920, 323, 748 is 1.

1. What is the GCD of 560, 920, 323, 748?

GCD of given numbers 560, 920, 323, 748 is 1

2. How to calculate the greatest common divisor of 560, 920, 323, 748?

We can find the highest common divisor of 560, 920, 323, 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 560, 920, 323, 748 i.e 1.

3. How can I use the GCD of 560, 920, 323, 748Calculator?

Out the numbers 560, 920, 323, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.