GCD of 738, 750, 597, 969 Calculator

Given Input numbers are 738, 750, 597, 969

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

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (738, 750, 597, 969) = 3.

Given numbers are 738, 750, 597, 969

The list of prime factors of all numbers are

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

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 597 are 3 x 199

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 738, 750, 597, 969 is 3.

Given numbers are 738, 750, 597, 969

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

Apply this formula for all numbers.

Step1:

LCM(738, 750) = 92250

GCD(738, 750) = ( 738 x 750 ) / 92250

= 738 / 750

= 738

Step2:

LCM(6, 597) = 1194

GCD(6, 597) = ( 6 x 597 ) / 1194

= 6 / 597

= 6

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 738, 750, 597, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 345, 508, 127
• GCD of 703, 973, 949, 714
• GCD of 438, 433, 596, 321
• GCD of 214, 448, 787, 941
• GCD of 432, 469, 672, 122

Given numbers are 738, 750, 597, 969
The greatest common divisor of numbers 738, 750, 597, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 750, 597, 969 is 3.

1. What is the GCD of 738, 750, 597, 969?

GCD of given numbers 738, 750, 597, 969 is 3

2. How to calculate the greatest common divisor of 738, 750, 597, 969?

We can find the highest common divisor of 738, 750, 597, 969 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 738, 750, 597, 969 i.e 3.

3. How can I use the GCD of 738, 750, 597, 969Calculator?

Out the numbers 738, 750, 597, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.