GCD of 715, 925, 676, 360 Calculator

Given Input numbers are 715, 925, 676, 360

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

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

GCD of numbers is the greatest common divisor

So, the GCD (715, 925, 676, 360) = 1.

Given numbers are 715, 925, 676, 360

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 925 are 5 x 5 x 37

Prime factors of 676 are 2 x 2 x 13 x 13

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

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

Given numbers are 715, 925, 676, 360

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

Apply this formula for all numbers.

Step1:

LCM(715, 925) = 132275

GCD(715, 925) = ( 715 x 925 ) / 132275

= 715 / 925

= 715

Step2:

LCM(5, 676) = 3380

GCD(5, 676) = ( 5 x 676 ) / 3380

= 5 / 676

= 5

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 715, 925, 676, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 993, 100, 415
• GCD of 771, 570, 489, 480
• GCD of 995, 108, 789, 324
• GCD of 349, 906, 986, 957
• GCD of 849, 477, 870, 345

Given numbers are 715, 925, 676, 360
The greatest common divisor of numbers 715, 925, 676, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 925, 676, 360 is 1.

1. What is the GCD of 715, 925, 676, 360?

GCD of given numbers 715, 925, 676, 360 is 1

2. How to calculate the greatest common divisor of 715, 925, 676, 360?

We can find the highest common divisor of 715, 925, 676, 360 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 715, 925, 676, 360 i.e 1.

3. How can I use the GCD of 715, 925, 676, 360Calculator?

Out the numbers 715, 925, 676, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.