GCD of 738, 276, 294, 684 Calculator

Given Input numbers are 738, 276, 294, 684

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (738, 276, 294, 684) = 6.

Given numbers are 738, 276, 294, 684

The list of prime factors of all numbers are

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

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 738, 276, 294, 684 is 6.

Given numbers are 738, 276, 294, 684

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

Apply this formula for all numbers.

Step1:

LCM(738, 276) = 33948

GCD(738, 276) = ( 738 x 276 ) / 33948

= 738 / 276

= 738

Step2:

LCM(6, 294) = 294

GCD(6, 294) = ( 6 x 294 ) / 294

= 6 / 294

= 6

Step3:

LCM(6, 684) = 684

GCD(6, 684) = ( 6 x 684 ) / 684

= 6 / 684

= 6

So, Greatest Common Divisor of 738, 276, 294, 684 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 821, 564, 977
• GCD of 910, 127, 222, 150
• GCD of 275, 812, 764, 747
• GCD of 847, 913, 362, 717
• GCD of 467, 630, 922, 250

Given numbers are 738, 276, 294, 684
The greatest common divisor of numbers 738, 276, 294, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 276, 294, 684 is 6.

1. What is the GCD of 738, 276, 294, 684?

GCD of given numbers 738, 276, 294, 684 is 6

2. How to calculate the greatest common divisor of 738, 276, 294, 684?

We can find the highest common divisor of 738, 276, 294, 684 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, 276, 294, 684 i.e 6.

3. How can I use the GCD of 738, 276, 294, 684Calculator?

Out the numbers 738, 276, 294, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.