GCD of 738, 178, 982, 208 Calculator

Given Input numbers are 738, 178, 982, 208

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 178 :

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

1, 2, 89, 178

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (738, 178, 982, 208) = 2.

Given numbers are 738, 178, 982, 208

The list of prime factors of all numbers are

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

Prime factors of 178 are 2 x 89

Prime factors of 982 are 2 x 491

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 738, 178, 982, 208 is 2.

Given numbers are 738, 178, 982, 208

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

Apply this formula for all numbers.

Step1:

LCM(738, 178) = 65682

GCD(738, 178) = ( 738 x 178 ) / 65682

= 738 / 178

= 738

Step2:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 738, 178, 982, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 143, 340, 582
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• GCD of 717, 976, 591, 898
• GCD of 628, 467, 840, 537
• GCD of 119, 163, 783, 318

Given numbers are 738, 178, 982, 208
The greatest common divisor of numbers 738, 178, 982, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 178, 982, 208 is 2.

1. What is the GCD of 738, 178, 982, 208?

GCD of given numbers 738, 178, 982, 208 is 2

2. How to calculate the greatest common divisor of 738, 178, 982, 208?

We can find the highest common divisor of 738, 178, 982, 208 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, 178, 982, 208 i.e 2.

3. How can I use the GCD of 738, 178, 982, 208Calculator?

Out the numbers 738, 178, 982, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.