GCD of 365, 125, 210, 720 Calculator

Given Input numbers are 365, 125, 210, 720

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (365, 125, 210, 720) = 5.

Given numbers are 365, 125, 210, 720

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 125 are 5 x 5 x 5

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 365, 125, 210, 720 is 5.

Given numbers are 365, 125, 210, 720

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

Apply this formula for all numbers.

Step1:

LCM(365, 125) = 9125

GCD(365, 125) = ( 365 x 125 ) / 9125

= 365 / 125

= 365

Step2:

LCM(5, 210) = 210

GCD(5, 210) = ( 5 x 210 ) / 210

= 5 / 210

= 5

Step3:

LCM(5, 720) = 720

GCD(5, 720) = ( 5 x 720 ) / 720

= 5 / 720

= 5

So, Greatest Common Divisor of 365, 125, 210, 720 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 920, 226, 924
• GCD of 273, 209, 121, 681
• GCD of 631, 924, 512, 300
• GCD of 209, 544, 315, 935
• GCD of 180, 312, 114, 385

Given numbers are 365, 125, 210, 720
The greatest common divisor of numbers 365, 125, 210, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 125, 210, 720 is 5.

1. What is the GCD of 365, 125, 210, 720?

GCD of given numbers 365, 125, 210, 720 is 5

2. How to calculate the greatest common divisor of 365, 125, 210, 720?

We can find the highest common divisor of 365, 125, 210, 720 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 365, 125, 210, 720 i.e 5.

3. How can I use the GCD of 365, 125, 210, 720Calculator?

Out the numbers 365, 125, 210, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.