GCD of 738, 986, 956, 749 Calculator

Given Input numbers are 738, 986, 956, 749

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (738, 986, 956, 749) = 1.

Given numbers are 738, 986, 956, 749

The list of prime factors of all numbers are

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

Prime factors of 986 are 2 x 17 x 29

Prime factors of 956 are 2 x 2 x 239

Prime factors of 749 are 7 x 107

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

Given numbers are 738, 986, 956, 749

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

Apply this formula for all numbers.

Step1:

LCM(738, 986) = 363834

GCD(738, 986) = ( 738 x 986 ) / 363834

= 738 / 986

= 738

Step2:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 738, 986, 956, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 148, 354, 164
• GCD of 240, 578, 698, 447
• GCD of 906, 257, 158, 917
• GCD of 196, 367, 198, 610
• GCD of 284, 381, 171, 845

Given numbers are 738, 986, 956, 749
The greatest common divisor of numbers 738, 986, 956, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 986, 956, 749 is 1.

1. What is the GCD of 738, 986, 956, 749?

GCD of given numbers 738, 986, 956, 749 is 1

2. How to calculate the greatest common divisor of 738, 986, 956, 749?

We can find the highest common divisor of 738, 986, 956, 749 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, 986, 956, 749 i.e 1.

3. How can I use the GCD of 738, 986, 956, 749Calculator?

Out the numbers 738, 986, 956, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.