GCD of 278, 770, 158, 103 Calculator

Given Input numbers are 278, 770, 158, 103

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

Divisors of 278

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

1, 2, 139, 278

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 278, 770, 158, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 770, 158, 103 is 1.

Therefore, GCD of numbers 278, 770, 158, 103 is 1

Given Input Data is 278, 770, 158, 103

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 158 is 2 x 79

Prime Factorization of 103 is 103

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(278, 770) = 107030

GCD(278, 770) = ( 278 x 770 ) / 107030

GCD(278, 770) = 214060 / 107030

GCD(278, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

GCD of 278, 770, 158, 103 is 1

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1. What is the GCD of 278, 770, 158, 103?

GCD of 278, 770, 158, 103 is 1

2. Where do I get the detailed procedure to find GCD of 278, 770, 158, 103?

You can find a detailed procedure to find GCD of 278, 770, 158, 103 on our page.

3. How to find GCD of 278, 770, 158, 103 on a calculator?

You can find the GCD of 278, 770, 158, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.