GCD of 734, 378, 306, 788 Calculator

Given Input numbers are 734, 378, 306, 788

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

Divisors of 734 :

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

1, 2, 367, 734

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (734, 378, 306, 788) = 2.

Given numbers are 734, 378, 306, 788

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 734, 378, 306, 788 is 2.

Given numbers are 734, 378, 306, 788

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

Apply this formula for all numbers.

Step1:

LCM(734, 378) = 138726

GCD(734, 378) = ( 734 x 378 ) / 138726

= 734 / 378

= 734

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 734, 378, 306, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 668, 553, 709
• GCD of 338, 163, 136, 320
• GCD of 398, 737, 866, 957
• GCD of 609, 995, 687, 141
• GCD of 918, 410, 184, 414

Given numbers are 734, 378, 306, 788
The greatest common divisor of numbers 734, 378, 306, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 378, 306, 788 is 2.

1. What is the GCD of 734, 378, 306, 788?

GCD of given numbers 734, 378, 306, 788 is 2

2. How to calculate the greatest common divisor of 734, 378, 306, 788?

We can find the highest common divisor of 734, 378, 306, 788 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 734, 378, 306, 788 i.e 2.

3. How can I use the GCD of 734, 378, 306, 788Calculator?

Out the numbers 734, 378, 306, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.