GCD of 380, 355, 320, 752 Calculator

Given Input numbers are 380, 355, 320, 752

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (380, 355, 320, 752) = 1.

Given numbers are 380, 355, 320, 752

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 355 are 5 x 71

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Given numbers are 380, 355, 320, 752

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

Apply this formula for all numbers.

Step1:

LCM(380, 355) = 26980

GCD(380, 355) = ( 380 x 355 ) / 26980

= 380 / 355

= 380

Step2:

LCM(5, 320) = 320

GCD(5, 320) = ( 5 x 320 ) / 320

= 5 / 320

= 5

Step3:

LCM(5, 752) = 3760

GCD(5, 752) = ( 5 x 752 ) / 3760

= 5 / 752

= 5

So, Greatest Common Divisor of 380, 355, 320, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 101, 700, 576
• GCD of 767, 906, 729, 699
• GCD of 958, 535, 549, 777
• GCD of 748, 115, 140, 760
• GCD of 118, 551, 822, 682

Given numbers are 380, 355, 320, 752
The greatest common divisor of numbers 380, 355, 320, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 355, 320, 752 is 1.

1. What is the GCD of 380, 355, 320, 752?

GCD of given numbers 380, 355, 320, 752 is 1

2. How to calculate the greatest common divisor of 380, 355, 320, 752?

We can find the highest common divisor of 380, 355, 320, 752 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 380, 355, 320, 752 i.e 1.

3. How can I use the GCD of 380, 355, 320, 752Calculator?

Out the numbers 380, 355, 320, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.