GCD of 860, 343, 78, 203 Calculator

Given Input numbers are 860, 343, 78, 203

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 860, 343, 78, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 343, 78, 203 is 1.

Therefore, GCD of numbers 860, 343, 78, 203 is 1

Given Input Data is 860, 343, 78, 203

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 203 is 7 x 29

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(860, 343) = 294980

GCD(860, 343) = ( 860 x 343 ) / 294980

GCD(860, 343) = 294980 / 294980

GCD(860, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 860, 343, 78, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 952, 45, 799
• GCD of 155, 226, 60, 575
• GCD of 640, 886, 81, 863
• GCD of 379, 991, 23, 806
• GCD of 483, 120, 44, 272

1. What is the GCD of 860, 343, 78, 203?

GCD of 860, 343, 78, 203 is 1

2. Where do I get the detailed procedure to find GCD of 860, 343, 78, 203?

You can find a detailed procedure to find GCD of 860, 343, 78, 203 on our page.

3. How to find GCD of 860, 343, 78, 203 on a calculator?

You can find the GCD of 860, 343, 78, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.