GCD of 77, 142, 305, 278 Calculator

Given Input numbers are 77, 142, 305, 278

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 77, 142, 305, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 142, 305, 278 is 1.

Therefore, GCD of numbers 77, 142, 305, 278 is 1

Given Input Data is 77, 142, 305, 278

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 142 is 2 x 71

Prime Factorization of 305 is 5 x 61

Prime Factorization of 278 is 2 x 139

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(77, 142) = 10934

GCD(77, 142) = ( 77 x 142 ) / 10934

GCD(77, 142) = 10934 / 10934

GCD(77, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 77, 142, 305, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 105, 313, 770
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• GCD of 40, 542, 886, 842

1. What is the GCD of 77, 142, 305, 278?

GCD of 77, 142, 305, 278 is 1

2. Where do I get the detailed procedure to find GCD of 77, 142, 305, 278?

You can find a detailed procedure to find GCD of 77, 142, 305, 278 on our page.

3. How to find GCD of 77, 142, 305, 278 on a calculator?

You can find the GCD of 77, 142, 305, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.