GCD of 370, 320, 353, 560 Calculator

Given Input numbers are 370, 320, 353, 560

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

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

GCD of numbers is the greatest common divisor

So, the GCD (370, 320, 353, 560) = 1.

Given numbers are 370, 320, 353, 560

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 353 are 353

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

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

Given numbers are 370, 320, 353, 560

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

Apply this formula for all numbers.

Step1:

LCM(370, 320) = 11840

GCD(370, 320) = ( 370 x 320 ) / 11840

= 370 / 320

= 370

Step2:

LCM(10, 353) = 3530

GCD(10, 353) = ( 10 x 353 ) / 3530

= 10 / 353

= 10

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 370, 320, 353, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 683, 385, 621
• GCD of 521, 201, 299, 742
• GCD of 729, 193, 332, 371
• GCD of 891, 189, 437, 945
• GCD of 996, 594, 333, 286

Given numbers are 370, 320, 353, 560
The greatest common divisor of numbers 370, 320, 353, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 320, 353, 560 is 1.

1. What is the GCD of 370, 320, 353, 560?

GCD of given numbers 370, 320, 353, 560 is 1

2. How to calculate the greatest common divisor of 370, 320, 353, 560?

We can find the highest common divisor of 370, 320, 353, 560 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 370, 320, 353, 560 i.e 1.

3. How can I use the GCD of 370, 320, 353, 560Calculator?

Out the numbers 370, 320, 353, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.