GCD of 749, 663, 734, 742 Calculator

Given Input numbers are 749, 663, 734, 742

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (749, 663, 734, 742) = 1.

Given numbers are 749, 663, 734, 742

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 663 are 3 x 13 x 17

Prime factors of 734 are 2 x 367

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 749, 663, 734, 742

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

Apply this formula for all numbers.

Step1:

LCM(749, 663) = 496587

GCD(749, 663) = ( 749 x 663 ) / 496587

= 749 / 663

= 749

Step2:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 749, 663, 734, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 692, 766, 513
• GCD of 275, 560, 885, 563
• GCD of 355, 189, 335, 208
• GCD of 910, 554, 428, 407
• GCD of 289, 892, 145, 402

Given numbers are 749, 663, 734, 742
The greatest common divisor of numbers 749, 663, 734, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 663, 734, 742 is 1.

1. What is the GCD of 749, 663, 734, 742?

GCD of given numbers 749, 663, 734, 742 is 1

2. How to calculate the greatest common divisor of 749, 663, 734, 742?

We can find the highest common divisor of 749, 663, 734, 742 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, 663, 734, 742 i.e 1.

3. How can I use the GCD of 749, 663, 734, 742Calculator?

Out the numbers 749, 663, 734, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.