GCD of 360, 745, 105, 995 Calculator

Given Input numbers are 360, 745, 105, 995

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 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995

GCD of numbers is the greatest common divisor

So, the GCD (360, 745, 105, 995) = 5.

Given numbers are 360, 745, 105, 995

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 745 are 5 x 149

Prime factors of 105 are 3 x 5 x 7

Prime factors of 995 are 5 x 199

The highest common occurrence is 5¹

Therefore, GCD of 360, 745, 105, 995 is 5.

Given numbers are 360, 745, 105, 995

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

Apply this formula for all numbers.

Step1:

LCM(360, 745) = 53640

GCD(360, 745) = ( 360 x 745 ) / 53640

= 360 / 745

= 360

Step2:

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

= 5 / 105

= 5

Step3:

LCM(5, 995) = 995

GCD(5, 995) = ( 5 x 995 ) / 995

= 5 / 995

= 5

So, Greatest Common Divisor of 360, 745, 105, 995 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 452, 808, 908
• GCD of 534, 430, 558, 208
• GCD of 135, 823, 914, 924
• GCD of 732, 983, 500, 692
• GCD of 290, 109, 646, 486

Given numbers are 360, 745, 105, 995
The greatest common divisor of numbers 360, 745, 105, 995 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 745, 105, 995 is 5.

1. What is the GCD of 360, 745, 105, 995?

GCD of given numbers 360, 745, 105, 995 is 5

2. How to calculate the greatest common divisor of 360, 745, 105, 995?

We can find the highest common divisor of 360, 745, 105, 995 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, 745, 105, 995 i.e 5.

3. How can I use the GCD of 360, 745, 105, 995Calculator?

Out the numbers 360, 745, 105, 995 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.