GCD of 360, 275, 965 Calculator

Given Input numbers are 360, 275, 965

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

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 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (360, 275, 965) = 5.

Given numbers are 360, 275, 965

The list of prime factors of all numbers are

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

Prime factors of 275 are 5 x 5 x 11

Prime factors of 965 are 5 x 193

The highest common occurrence is 5¹

Therefore, GCD of 360, 275, 965 is 5.

Given numbers are 360, 275, 965

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

Apply this formula for all numbers.

Step1:

LCM(360, 275) = 19800

GCD(360, 275) = ( 360 x 275 ) / 19800

= 360 / 275

= 360

Step2:

LCM(5, 965) = 965

GCD(5, 965) = ( 5 x 965 ) / 965

= 5 / 965

= 5

So, Greatest Common Divisor of 360, 275, 965 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 301, 959
• GCD of 747, 916, 490
• GCD of 905, 813, 725
• GCD of 829, 582, 784
• GCD of 152, 976, 161

Given numbers are 360, 275, 965
The greatest common divisor of numbers 360, 275, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 275, 965 is 5.

1. What is the GCD of 360, 275, 965?

GCD of given numbers 360, 275, 965 is 5

2. How to calculate the greatest common divisor of 360, 275, 965?

We can find the highest common divisor of 360, 275, 965 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 360, 275, 965 i.e 5.

3. How can I use the GCD of 360, 275, 965Calculator?

Out the numbers 360, 275, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.