GCD of 749, 648, 300, 696 Calculator

Given Input numbers are 749, 648, 300, 696

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (749, 648, 300, 696) = 1.

Given numbers are 749, 648, 300, 696

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 749, 648, 300, 696

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

Apply this formula for all numbers.

Step1:

LCM(749, 648) = 485352

GCD(749, 648) = ( 749 x 648 ) / 485352

= 749 / 648

= 749

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1

So, Greatest Common Divisor of 749, 648, 300, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 331, 622, 881
• GCD of 843, 398, 509, 142
• GCD of 574, 480, 724, 876
• GCD of 507, 197, 288, 667
• GCD of 669, 523, 611, 468

Given numbers are 749, 648, 300, 696
The greatest common divisor of numbers 749, 648, 300, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 648, 300, 696 is 1.

1. What is the GCD of 749, 648, 300, 696?

GCD of given numbers 749, 648, 300, 696 is 1

2. How to calculate the greatest common divisor of 749, 648, 300, 696?

We can find the highest common divisor of 749, 648, 300, 696 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 749, 648, 300, 696 i.e 1.

3. How can I use the GCD of 749, 648, 300, 696Calculator?

Out the numbers 749, 648, 300, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.