GCD of 725, 280, 360, 916 Calculator

Given Input numbers are 725, 280, 360, 916

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (725, 280, 360, 916) = 1.

Given numbers are 725, 280, 360, 916

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 725, 280, 360, 916

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

Apply this formula for all numbers.

Step1:

LCM(725, 280) = 40600

GCD(725, 280) = ( 725 x 280 ) / 40600

= 725 / 280

= 725

Step2:

LCM(5, 360) = 360

GCD(5, 360) = ( 5 x 360 ) / 360

= 5 / 360

= 5

Step3:

LCM(5, 916) = 4580

GCD(5, 916) = ( 5 x 916 ) / 4580

= 5 / 916

= 5

So, Greatest Common Divisor of 725, 280, 360, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 314, 387, 949
• GCD of 503, 576, 386, 973
• GCD of 643, 386, 575, 203
• GCD of 785, 956, 346, 367
• GCD of 236, 528, 515, 277

Given numbers are 725, 280, 360, 916
The greatest common divisor of numbers 725, 280, 360, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 280, 360, 916 is 1.

1. What is the GCD of 725, 280, 360, 916?

GCD of given numbers 725, 280, 360, 916 is 1

2. How to calculate the greatest common divisor of 725, 280, 360, 916?

We can find the highest common divisor of 725, 280, 360, 916 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, 280, 360, 916 i.e 1.

3. How can I use the GCD of 725, 280, 360, 916Calculator?

Out the numbers 725, 280, 360, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.