GCD of 725, 380, 675, 380 Calculator

Given Input numbers are 725, 380, 675, 380

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

GCD of numbers is the greatest common divisor

So, the GCD (725, 380, 675, 380) = 5.

Given numbers are 725, 380, 675, 380

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 725, 380, 675, 380 is 5.

Given numbers are 725, 380, 675, 380

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

Apply this formula for all numbers.

Step1:

LCM(725, 380) = 55100

GCD(725, 380) = ( 725 x 380 ) / 55100

= 725 / 380

= 725

Step2:

LCM(5, 675) = 675

GCD(5, 675) = ( 5 x 675 ) / 675

= 5 / 675

= 5

Step3:

LCM(5, 380) = 380

GCD(5, 380) = ( 5 x 380 ) / 380

= 5 / 380

= 5

So, Greatest Common Divisor of 725, 380, 675, 380 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 301, 278, 219
• GCD of 122, 322, 709, 477
• GCD of 734, 386, 816, 814
• GCD of 721, 328, 560, 685
• GCD of 541, 816, 914, 620

Given numbers are 725, 380, 675, 380
The greatest common divisor of numbers 725, 380, 675, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 380, 675, 380 is 5.

1. What is the GCD of 725, 380, 675, 380?

GCD of given numbers 725, 380, 675, 380 is 5

2. How to calculate the greatest common divisor of 725, 380, 675, 380?

We can find the highest common divisor of 725, 380, 675, 380 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 725, 380, 675, 380 i.e 5.

3. How can I use the GCD of 725, 380, 675, 380Calculator?

Out the numbers 725, 380, 675, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.