GCD of 200, 246, 712, 178 Calculator

Given Input numbers are 200, 246, 712, 178

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 200, 246, 712, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 246, 712, 178 is 2.

Therefore, GCD of numbers 200, 246, 712, 178 is 2

Given Input Data is 200, 246, 712, 178

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 178 is 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(200, 246) = 24600

GCD(200, 246) = ( 200 x 246 ) / 24600

GCD(200, 246) = 49200 / 24600

GCD(200, 246) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

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

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 200, 246, 712, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 121, 343, 243
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• GCD of 139, 793, 216, 954
• GCD of 411, 910, 545, 580
• GCD of 430, 187, 931, 177

1. What is the GCD of 200, 246, 712, 178?

GCD of 200, 246, 712, 178 is 2

2. Where do I get the detailed procedure to find GCD of 200, 246, 712, 178?

You can find a detailed procedure to find GCD of 200, 246, 712, 178 on our page.

3. How to find GCD of 200, 246, 712, 178 on a calculator?

You can find the GCD of 200, 246, 712, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.