GCD of 414, 143, 68, 776 Calculator

Given Input numbers are 414, 143, 68, 776

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 414, 143, 68, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 143, 68, 776 is 1.

Therefore, GCD of numbers 414, 143, 68, 776 is 1

Given Input Data is 414, 143, 68, 776

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 143 is 11 x 13

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(414, 143) = 59202

GCD(414, 143) = ( 414 x 143 ) / 59202

GCD(414, 143) = 59202 / 59202

GCD(414, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 414, 143, 68, 776 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 449, 48, 279
• GCD of 292, 822, 38, 944
• GCD of 669, 831, 89, 366
• GCD of 281, 195, 95, 702
• GCD of 682, 280, 65, 359

1. What is the GCD of 414, 143, 68, 776?

GCD of 414, 143, 68, 776 is 1

2. Where do I get the detailed procedure to find GCD of 414, 143, 68, 776?

You can find a detailed procedure to find GCD of 414, 143, 68, 776 on our page.

3. How to find GCD of 414, 143, 68, 776 on a calculator?

You can find the GCD of 414, 143, 68, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.