GCD of 759, 141, 753, 340 Calculator

Given Input numbers are 759, 141, 753, 340

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

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

Greatest Common Divisior

We found the divisors of 759, 141, 753, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 141, 753, 340 is 1.

Therefore, GCD of numbers 759, 141, 753, 340 is 1

Given Input Data is 759, 141, 753, 340

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 141 is 3 x 47

Prime Factorization of 753 is 3 x 251

Prime Factorization of 340 is 2 x 2 x 5 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(759, 141) = 35673

GCD(759, 141) = ( 759 x 141 ) / 35673

GCD(759, 141) = 107019 / 35673

GCD(759, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 753

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

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

GCD(3, 753) = 2259 / 753

GCD(3, 753) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 340

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

LCM(3, 340) = 1020

GCD(3, 340) = ( 3 x 340 ) / 1020

GCD(3, 340) = 1020 / 1020

GCD(3, 340) = 1

GCD of 759, 141, 753, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 908, 689, 532
• GCD of 775, 862, 622, 434
• GCD of 296, 107, 587, 472
• GCD of 213, 143, 757, 231
• GCD of 966, 632, 275, 435

1. What is the GCD of 759, 141, 753, 340?

GCD of 759, 141, 753, 340 is 1

2. Where do I get the detailed procedure to find GCD of 759, 141, 753, 340?

You can find a detailed procedure to find GCD of 759, 141, 753, 340 on our page.

3. How to find GCD of 759, 141, 753, 340 on a calculator?

You can find the GCD of 759, 141, 753, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.