GCD of 560, 150, 352, 723 Calculator

Given Input numbers are 560, 150, 352, 723

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (560, 150, 352, 723) = 1.

Given numbers are 560, 150, 352, 723

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 150 are 2 x 3 x 5 x 5

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 723 are 3 x 241

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

Given numbers are 560, 150, 352, 723

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

Apply this formula for all numbers.

Step1:

LCM(560, 150) = 8400

GCD(560, 150) = ( 560 x 150 ) / 8400

= 560 / 150

= 560

Step2:

LCM(10, 352) = 1760

GCD(10, 352) = ( 10 x 352 ) / 1760

= 10 / 352

= 10

Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

So, Greatest Common Divisor of 560, 150, 352, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 604, 976, 201
• GCD of 835, 882, 603, 731
• GCD of 570, 666, 654, 389
• GCD of 675, 718, 502, 794
• GCD of 725, 798, 941, 144

Given numbers are 560, 150, 352, 723
The greatest common divisor of numbers 560, 150, 352, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 150, 352, 723 is 1.

1. What is the GCD of 560, 150, 352, 723?

GCD of given numbers 560, 150, 352, 723 is 1

2. How to calculate the greatest common divisor of 560, 150, 352, 723?

We can find the highest common divisor of 560, 150, 352, 723 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, 150, 352, 723 i.e 1.

3. How can I use the GCD of 560, 150, 352, 723Calculator?

Out the numbers 560, 150, 352, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.