GCD of 325, 945, 735, 300 Calculator

Given Input numbers are 325, 945, 735, 300

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

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 (325, 945, 735, 300) = 5.

Given numbers are 325, 945, 735, 300

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 735 are 3 x 5 x 7 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 325, 945, 735, 300 is 5.

Given numbers are 325, 945, 735, 300

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

Apply this formula for all numbers.

Step1:

LCM(325, 945) = 61425

GCD(325, 945) = ( 325 x 945 ) / 61425

= 325 / 945

= 325

Step2:

LCM(5, 735) = 735

GCD(5, 735) = ( 5 x 735 ) / 735

= 5 / 735

= 5

Step3:

LCM(5, 300) = 300

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

= 5 / 300

= 5

So, Greatest Common Divisor of 325, 945, 735, 300 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 107, 719, 303
• GCD of 794, 351, 810, 670
• GCD of 607, 313, 794, 739
• GCD of 396, 935, 784, 533
• GCD of 657, 389, 208, 675

Given numbers are 325, 945, 735, 300
The greatest common divisor of numbers 325, 945, 735, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 945, 735, 300 is 5.

1. What is the GCD of 325, 945, 735, 300?

GCD of given numbers 325, 945, 735, 300 is 5

2. How to calculate the greatest common divisor of 325, 945, 735, 300?

We can find the highest common divisor of 325, 945, 735, 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 325, 945, 735, 300 i.e 5.

3. How can I use the GCD of 325, 945, 735, 300Calculator?

Out the numbers 325, 945, 735, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.