GCD of 485, 725, 480, 235 Calculator

Given Input numbers are 485, 725, 480, 235

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

Divisors of 485 :

The positive integer divisors of 485 that completely divides 485 are.

1, 5, 97, 485

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

GCD of numbers is the greatest common divisor

So, the GCD (485, 725, 480, 235) = 5.

Given numbers are 485, 725, 480, 235

The list of prime factors of all numbers are

Prime factors of 485 are 5 x 97

Prime factors of 725 are 5 x 5 x 29

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 235 are 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 485, 725, 480, 235 is 5.

Given numbers are 485, 725, 480, 235

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

Apply this formula for all numbers.

Step1:

LCM(485, 725) = 70325

GCD(485, 725) = ( 485 x 725 ) / 70325

= 485 / 725

= 485

Step2:

LCM(5, 480) = 480

GCD(5, 480) = ( 5 x 480 ) / 480

= 5 / 480

= 5

Step3:

LCM(5, 235) = 235

GCD(5, 235) = ( 5 x 235 ) / 235

= 5 / 235

= 5

So, Greatest Common Divisor of 485, 725, 480, 235 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 237, 438, 817
• GCD of 812, 783, 280, 977
• GCD of 758, 369, 541, 832
• GCD of 878, 705, 404, 897
• GCD of 637, 208, 867, 796

Given numbers are 485, 725, 480, 235
The greatest common divisor of numbers 485, 725, 480, 235 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 485, 725, 480, 235 is 5.

1. What is the GCD of 485, 725, 480, 235?

GCD of given numbers 485, 725, 480, 235 is 5

2. How to calculate the greatest common divisor of 485, 725, 480, 235?

We can find the highest common divisor of 485, 725, 480, 235 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 485, 725, 480, 235 i.e 5.

3. How can I use the GCD of 485, 725, 480, 235Calculator?

Out the numbers 485, 725, 480, 235 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.