GCD of 150, 778, 71, 114 Calculator

Given Input numbers are 150, 778, 71, 114

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 150, 778, 71, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 778, 71, 114 is 1.

Therefore, GCD of numbers 150, 778, 71, 114 is 1

Given Input Data is 150, 778, 71, 114

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 778 is 2 x 389

Prime Factorization of 71 is 71

Prime Factorization of 114 is 2 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(150, 778) = 58350

GCD(150, 778) = ( 150 x 778 ) / 58350

GCD(150, 778) = 116700 / 58350

GCD(150, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 150, 778, 71, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 215, 13, 839
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• GCD of 475, 180, 67, 323
• GCD of 709, 887, 57, 306
• GCD of 940, 427, 78, 260

1. What is the GCD of 150, 778, 71, 114?

GCD of 150, 778, 71, 114 is 1

2. Where do I get the detailed procedure to find GCD of 150, 778, 71, 114?

You can find a detailed procedure to find GCD of 150, 778, 71, 114 on our page.

3. How to find GCD of 150, 778, 71, 114 on a calculator?

You can find the GCD of 150, 778, 71, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.