GCD of 738, 214, 54, 938 Calculator

Given Input numbers are 738, 214, 54, 938

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (738, 214, 54, 938) = 2.

Given numbers are 738, 214, 54, 938

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 738, 214, 54, 938 is 2.

Given numbers are 738, 214, 54, 938

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

Apply this formula for all numbers.

Step1:

LCM(738, 214) = 78966

GCD(738, 214) = ( 738 x 214 ) / 78966

= 738 / 214

= 738

Step2:

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

= 2 / 54

= 2

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 738, 214, 54, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 614, 53, 880
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Given numbers are 738, 214, 54, 938
The greatest common divisor of numbers 738, 214, 54, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 214, 54, 938 is 2.

1. What is the GCD of 738, 214, 54, 938?

GCD of given numbers 738, 214, 54, 938 is 2

2. How to calculate the greatest common divisor of 738, 214, 54, 938?

We can find the highest common divisor of 738, 214, 54, 938 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, 214, 54, 938 i.e 2.

3. How can I use the GCD of 738, 214, 54, 938Calculator?

Out the numbers 738, 214, 54, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.