GCD of 103, 119, 26, 700 Calculator

Given Input numbers are 103, 119, 26, 700

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 103, 119, 26, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 119, 26, 700 is 1.

Therefore, GCD of numbers 103, 119, 26, 700 is 1

Given Input Data is 103, 119, 26, 700

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

Prime Factorization of 103 is 103

Prime Factorization of 119 is 7 x 17

Prime Factorization of 26 is 2 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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, 119) = 12257

GCD(103, 119) = ( 103 x 119 ) / 12257

GCD(103, 119) = 12257 / 12257

GCD(103, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 103, 119, 26, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 129, 24, 614
• GCD of 236, 918, 12, 359
• GCD of 124, 676, 59, 233
• GCD of 641, 180, 56, 929
• GCD of 198, 202, 68, 708

1. What is the GCD of 103, 119, 26, 700?

GCD of 103, 119, 26, 700 is 1

2. Where do I get the detailed procedure to find GCD of 103, 119, 26, 700?

You can find a detailed procedure to find GCD of 103, 119, 26, 700 on our page.

3. How to find GCD of 103, 119, 26, 700 on a calculator?

You can find the GCD of 103, 119, 26, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.