GCD of 738, 914, 84 Calculator

Given Input numbers are 738, 914, 84

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCD of numbers is the greatest common divisor

So, the GCD (738, 914, 84) = 2.

Given numbers are 738, 914, 84

The list of prime factors of all numbers are

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

Prime factors of 914 are 2 x 457

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 738, 914, 84 is 2.

Given numbers are 738, 914, 84

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

Apply this formula for all numbers.

Step1:

LCM(738, 914) = 337266

GCD(738, 914) = ( 738 x 914 ) / 337266

= 738 / 914

= 738

Step2:

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2

So, Greatest Common Divisor of 738, 914, 84 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 419, 61
• GCD of 226, 540, 97
• GCD of 183, 344, 29
• GCD of 159, 444, 16
• GCD of 573, 462, 80

Given numbers are 738, 914, 84
The greatest common divisor of numbers 738, 914, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 914, 84 is 2.

1. What is the GCD of 738, 914, 84?

GCD of given numbers 738, 914, 84 is 2

2. How to calculate the greatest common divisor of 738, 914, 84?

We can find the highest common divisor of 738, 914, 84 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, 914, 84 i.e 2.

3. How can I use the GCD of 738, 914, 84Calculator?

Out the numbers 738, 914, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.