GCD of 360, 807, 954, 125 Calculator

Given Input numbers are 360, 807, 954, 125

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 360, 807, 954, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 807, 954, 125 is 1.

Therefore, GCD of numbers 360, 807, 954, 125 is 1

Given Input Data is 360, 807, 954, 125

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 807 is 3 x 269

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 125 is 5 x 5 x 5

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(360, 807) = 96840

GCD(360, 807) = ( 360 x 807 ) / 96840

GCD(360, 807) = 290520 / 96840

GCD(360, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 125

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

LCM(3, 125) = 375

GCD(3, 125) = ( 3 x 125 ) / 375

GCD(3, 125) = 375 / 375

GCD(3, 125) = 1

GCD of 360, 807, 954, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 115, 690, 858
• GCD of 718, 946, 991, 248
• GCD of 328, 226, 405, 734
• GCD of 591, 919, 205, 844
• GCD of 933, 420, 924, 753

1. What is the GCD of 360, 807, 954, 125?

GCD of 360, 807, 954, 125 is 1

2. Where do I get the detailed procedure to find GCD of 360, 807, 954, 125?

You can find a detailed procedure to find GCD of 360, 807, 954, 125 on our page.

3. How to find GCD of 360, 807, 954, 125 on a calculator?

You can find the GCD of 360, 807, 954, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.