GCD of 341, 677, 74, 762 Calculator

Given Input numbers are 341, 677, 74, 762

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 341, 677, 74, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 677, 74, 762 is 1.

Therefore, GCD of numbers 341, 677, 74, 762 is 1

Given Input Data is 341, 677, 74, 762

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 677 is 677

Prime Factorization of 74 is 2 x 37

Prime Factorization of 762 is 2 x 3 x 127

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(341, 677) = 230857

GCD(341, 677) = ( 341 x 677 ) / 230857

GCD(341, 677) = 230857 / 230857

GCD(341, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 341, 677, 74, 762 is 1

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1. What is the GCD of 341, 677, 74, 762?

GCD of 341, 677, 74, 762 is 1

2. Where do I get the detailed procedure to find GCD of 341, 677, 74, 762?

You can find a detailed procedure to find GCD of 341, 677, 74, 762 on our page.

3. How to find GCD of 341, 677, 74, 762 on a calculator?

You can find the GCD of 341, 677, 74, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.