GCD of 738, 116, 210, 178 Calculator

Given Input numbers are 738, 116, 210, 178

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (738, 116, 210, 178) = 2.

Given numbers are 738, 116, 210, 178

The list of prime factors of all numbers are

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

Prime factors of 116 are 2 x 2 x 29

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 738, 116, 210, 178 is 2.

Given numbers are 738, 116, 210, 178

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

Apply this formula for all numbers.

Step1:

LCM(738, 116) = 42804

GCD(738, 116) = ( 738 x 116 ) / 42804

= 738 / 116

= 738

Step2:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 738, 116, 210, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 936, 671, 247
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Given numbers are 738, 116, 210, 178
The greatest common divisor of numbers 738, 116, 210, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 116, 210, 178 is 2.

1. What is the GCD of 738, 116, 210, 178?

GCD of given numbers 738, 116, 210, 178 is 2

2. How to calculate the greatest common divisor of 738, 116, 210, 178?

We can find the highest common divisor of 738, 116, 210, 178 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, 116, 210, 178 i.e 2.

3. How can I use the GCD of 738, 116, 210, 178Calculator?

Out the numbers 738, 116, 210, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.