GCD of 782, 719, 991, 141 Calculator

Given Input numbers are 782, 719, 991, 141

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 141

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

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 782, 719, 991, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 719, 991, 141 is 1.

Therefore, GCD of numbers 782, 719, 991, 141 is 1

Given Input Data is 782, 719, 991, 141

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 719 is 719

Prime Factorization of 991 is 991

Prime Factorization of 141 is 3 x 47

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(782, 719) = 562258

GCD(782, 719) = ( 782 x 719 ) / 562258

GCD(782, 719) = 562258 / 562258

GCD(782, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 782, 719, 991, 141 is 1

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1. What is the GCD of 782, 719, 991, 141?

GCD of 782, 719, 991, 141 is 1

2. Where do I get the detailed procedure to find GCD of 782, 719, 991, 141?

You can find a detailed procedure to find GCD of 782, 719, 991, 141 on our page.

3. How to find GCD of 782, 719, 991, 141 on a calculator?

You can find the GCD of 782, 719, 991, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.