GCD of 153, 344, 705, 760 Calculator

Given Input numbers are 153, 344, 705, 760

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 153, 344, 705, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 344, 705, 760 is 1.

Therefore, GCD of numbers 153, 344, 705, 760 is 1

Given Input Data is 153, 344, 705, 760

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(153, 344) = 52632

GCD(153, 344) = ( 153 x 344 ) / 52632

GCD(153, 344) = 52632 / 52632

GCD(153, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 153, 344, 705, 760 is 1

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1. What is the GCD of 153, 344, 705, 760?

GCD of 153, 344, 705, 760 is 1

2. Where do I get the detailed procedure to find GCD of 153, 344, 705, 760?

You can find a detailed procedure to find GCD of 153, 344, 705, 760 on our page.

3. How to find GCD of 153, 344, 705, 760 on a calculator?

You can find the GCD of 153, 344, 705, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.