GCD of 975, 745, 300 Calculator

Given Input numbers are 975, 745, 300

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

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 745 :

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

1, 5, 149, 745

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (975, 745, 300) = 5.

Given numbers are 975, 745, 300

The list of prime factors of all numbers are

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

Prime factors of 745 are 5 x 149

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 975, 745, 300 is 5.

Given numbers are 975, 745, 300

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

Apply this formula for all numbers.

Step1:

LCM(975, 745) = 145275

GCD(975, 745) = ( 975 x 745 ) / 145275

= 975 / 745

= 975

Step2:

LCM(5, 300) = 300

GCD(5, 300) = ( 5 x 300 ) / 300

= 5 / 300

= 5

So, Greatest Common Divisor of 975, 745, 300 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 396, 701
• GCD of 605, 105, 606
• GCD of 325, 169, 903
• GCD of 268, 714, 629
• GCD of 913, 307, 810

Given numbers are 975, 745, 300
The greatest common divisor of numbers 975, 745, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 745, 300 is 5.

1. What is the GCD of 975, 745, 300?

GCD of given numbers 975, 745, 300 is 5

2. How to calculate the greatest common divisor of 975, 745, 300?

We can find the highest common divisor of 975, 745, 300 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 975, 745, 300 i.e 5.

3. How can I use the GCD of 975, 745, 300Calculator?

Out the numbers 975, 745, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.