GCD of 31, 347, 153, 760 Calculator

Given Input numbers are 31, 347, 153, 760

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 153

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

1, 3, 9, 17, 51, 153

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 31, 347, 153, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 347, 153, 760 is 1.

Therefore, GCD of numbers 31, 347, 153, 760 is 1

Given Input Data is 31, 347, 153, 760

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

Prime Factorization of 31 is 31

Prime Factorization of 347 is 347

Prime Factorization of 153 is 3 x 3 x 17

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(31, 347) = 10757

GCD(31, 347) = ( 31 x 347 ) / 10757

GCD(31, 347) = 10757 / 10757

GCD(31, 347) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 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 31, 347, 153, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 648, 701, 461
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• GCD of 80, 534, 944, 894
• GCD of 41, 998, 870, 525
• GCD of 55, 871, 365, 313

1. What is the GCD of 31, 347, 153, 760?

GCD of 31, 347, 153, 760 is 1

2. Where do I get the detailed procedure to find GCD of 31, 347, 153, 760?

You can find a detailed procedure to find GCD of 31, 347, 153, 760 on our page.

3. How to find GCD of 31, 347, 153, 760 on a calculator?

You can find the GCD of 31, 347, 153, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.