GCD of 241, 340, 607, 749 Calculator

Given Input numbers are 241, 340, 607, 749

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 241, 340, 607, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 340, 607, 749 is 1.

Therefore, GCD of numbers 241, 340, 607, 749 is 1

Given Input Data is 241, 340, 607, 749

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

Prime Factorization of 241 is 241

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 607 is 607

Prime Factorization of 749 is 7 x 107

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(241, 340) = 81940

GCD(241, 340) = ( 241 x 340 ) / 81940

GCD(241, 340) = 81940 / 81940

GCD(241, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 241, 340, 607, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 646, 528, 816
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• GCD of 942, 197, 977, 802
• GCD of 787, 675, 610, 615

1. What is the GCD of 241, 340, 607, 749?

GCD of 241, 340, 607, 749 is 1

2. Where do I get the detailed procedure to find GCD of 241, 340, 607, 749?

You can find a detailed procedure to find GCD of 241, 340, 607, 749 on our page.

3. How to find GCD of 241, 340, 607, 749 on a calculator?

You can find the GCD of 241, 340, 607, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.