GCD of 677, 342, 46, 451 Calculator

Given Input numbers are 677, 342, 46, 451

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

Divisors of 677

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

1, 677

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 677, 342, 46, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 342, 46, 451 is 1.

Therefore, GCD of numbers 677, 342, 46, 451 is 1

Given Input Data is 677, 342, 46, 451

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

Prime Factorization of 677 is 677

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 46 is 2 x 23

Prime Factorization of 451 is 11 x 41

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(677, 342) = 231534

GCD(677, 342) = ( 677 x 342 ) / 231534

GCD(677, 342) = 231534 / 231534

GCD(677, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

GCD of 677, 342, 46, 451 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 402, 61, 118
• GCD of 659, 228, 14, 282
• GCD of 746, 401, 30, 561
• GCD of 746, 714, 71, 841
• GCD of 449, 290, 81, 141

1. What is the GCD of 677, 342, 46, 451?

GCD of 677, 342, 46, 451 is 1

2. Where do I get the detailed procedure to find GCD of 677, 342, 46, 451?

You can find a detailed procedure to find GCD of 677, 342, 46, 451 on our page.

3. How to find GCD of 677, 342, 46, 451 on a calculator?

You can find the GCD of 677, 342, 46, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.