GCD of 103, 278, 85, 102 Calculator

Given Input numbers are 103, 278, 85, 102

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

Divisors of 103

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

1, 103

Divisors of 278

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

1, 2, 139, 278

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 103, 278, 85, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 278, 85, 102 is 1.

Therefore, GCD of numbers 103, 278, 85, 102 is 1

Given Input Data is 103, 278, 85, 102

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

Prime Factorization of 103 is 103

Prime Factorization of 278 is 2 x 139

Prime Factorization of 85 is 5 x 17

Prime Factorization of 102 is 2 x 3 x 17

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(103, 278) = 28634

GCD(103, 278) = ( 103 x 278 ) / 28634

GCD(103, 278) = 28634 / 28634

GCD(103, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 103, 278, 85, 102 is 1

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• GCD of 676, 415, 15, 239
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1. What is the GCD of 103, 278, 85, 102?

GCD of 103, 278, 85, 102 is 1

2. Where do I get the detailed procedure to find GCD of 103, 278, 85, 102?

You can find a detailed procedure to find GCD of 103, 278, 85, 102 on our page.

3. How to find GCD of 103, 278, 85, 102 on a calculator?

You can find the GCD of 103, 278, 85, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.