GCD of 240, 975, 800, 725 Calculator

Given Input numbers are 240, 975, 800, 725

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (240, 975, 800, 725) = 5.

Given numbers are 240, 975, 800, 725

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 725 are 5 x 5 x 29

The highest common occurrence is 5¹

Therefore, GCD of 240, 975, 800, 725 is 5.

Given numbers are 240, 975, 800, 725

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

Apply this formula for all numbers.

Step1:

LCM(240, 975) = 15600

GCD(240, 975) = ( 240 x 975 ) / 15600

= 240 / 975

= 240

Step2:

LCM(15, 800) = 2400

GCD(15, 800) = ( 15 x 800 ) / 2400

= 15 / 800

= 15

Step3:

LCM(5, 725) = 725

GCD(5, 725) = ( 5 x 725 ) / 725

= 5 / 725

= 5

So, Greatest Common Divisor of 240, 975, 800, 725 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 650, 209, 740
• GCD of 272, 985, 322, 889
• GCD of 873, 226, 327, 357
• GCD of 702, 414, 304, 458
• GCD of 952, 397, 982, 706

Given numbers are 240, 975, 800, 725
The greatest common divisor of numbers 240, 975, 800, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 975, 800, 725 is 5.

1. What is the GCD of 240, 975, 800, 725?

GCD of given numbers 240, 975, 800, 725 is 5

2. How to calculate the greatest common divisor of 240, 975, 800, 725?

We can find the highest common divisor of 240, 975, 800, 725 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 240, 975, 800, 725 i.e 5.

3. How can I use the GCD of 240, 975, 800, 725Calculator?

Out the numbers 240, 975, 800, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.