GCD of 315, 172, 770, 360 Calculator

Given Input numbers are 315, 172, 770, 360

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 (315, 172, 770, 360) = 1.

Given numbers are 315, 172, 770, 360

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 172 are 2 x 2 x 43

Prime factors of 770 are 2 x 5 x 7 x 11

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 315, 172, 770, 360

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

Apply this formula for all numbers.

Step1:

LCM(315, 172) = 54180

GCD(315, 172) = ( 315 x 172 ) / 54180

= 315 / 172

= 315

Step2:

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

= 1 / 770

= 1

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 315, 172, 770, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 455, 846, 675
• GCD of 410, 136, 526, 514
• GCD of 517, 640, 761, 265
• GCD of 968, 703, 152, 640
• GCD of 862, 533, 311, 849

Given numbers are 315, 172, 770, 360
The greatest common divisor of numbers 315, 172, 770, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 172, 770, 360 is 1.

1. What is the GCD of 315, 172, 770, 360?

GCD of given numbers 315, 172, 770, 360 is 1

2. How to calculate the greatest common divisor of 315, 172, 770, 360?

We can find the highest common divisor of 315, 172, 770, 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 315, 172, 770, 360 i.e 1.

3. How can I use the GCD of 315, 172, 770, 360Calculator?

Out the numbers 315, 172, 770, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.