GCD of 378, 748, 804, 734 Calculator

Given Input numbers are 378, 748, 804, 734

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

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 734 :

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

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (378, 748, 804, 734) = 2.

Given numbers are 378, 748, 804, 734

The list of prime factors of all numbers are

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

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 378, 748, 804, 734 is 2.

Given numbers are 378, 748, 804, 734

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

Apply this formula for all numbers.

Step1:

LCM(378, 748) = 141372

GCD(378, 748) = ( 378 x 748 ) / 141372

= 378 / 748

= 378

Step2:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

Step3:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

So, Greatest Common Divisor of 378, 748, 804, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 287, 315, 115
• GCD of 270, 777, 366, 370
• GCD of 613, 530, 647, 114
• GCD of 643, 574, 985, 564
• GCD of 952, 948, 291, 564

Given numbers are 378, 748, 804, 734
The greatest common divisor of numbers 378, 748, 804, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 748, 804, 734 is 2.

1. What is the GCD of 378, 748, 804, 734?

GCD of given numbers 378, 748, 804, 734 is 2

2. How to calculate the greatest common divisor of 378, 748, 804, 734?

We can find the highest common divisor of 378, 748, 804, 734 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 378, 748, 804, 734 i.e 2.

3. How can I use the GCD of 378, 748, 804, 734Calculator?

Out the numbers 378, 748, 804, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.