GCD of 975, 909, 303, 738 Calculator

Given Input numbers are 975, 909, 303, 738

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (975, 909, 303, 738) = 3.

Given numbers are 975, 909, 303, 738

The list of prime factors of all numbers are

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

Prime factors of 909 are 3 x 3 x 101

Prime factors of 303 are 3 x 101

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 975, 909, 303, 738 is 3.

Given numbers are 975, 909, 303, 738

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

Apply this formula for all numbers.

Step1:

LCM(975, 909) = 295425

GCD(975, 909) = ( 975 x 909 ) / 295425

= 975 / 909

= 975

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

So, Greatest Common Divisor of 975, 909, 303, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 368, 740, 504
• GCD of 199, 850, 534, 573
• GCD of 322, 330, 825, 520
• GCD of 548, 722, 199, 714
• GCD of 807, 949, 280, 945

Given numbers are 975, 909, 303, 738
The greatest common divisor of numbers 975, 909, 303, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 909, 303, 738 is 3.

1. What is the GCD of 975, 909, 303, 738?

GCD of given numbers 975, 909, 303, 738 is 3

2. How to calculate the greatest common divisor of 975, 909, 303, 738?

We can find the highest common divisor of 975, 909, 303, 738 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, 909, 303, 738 i.e 3.

3. How can I use the GCD of 975, 909, 303, 738Calculator?

Out the numbers 975, 909, 303, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.