GCD of 267, 550, 690, 677 Calculator

Given Input numbers are 267, 550, 690, 677

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 677

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

1, 677

Greatest Common Divisior

We found the divisors of 267, 550, 690, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 550, 690, 677 is 1.

Therefore, GCD of numbers 267, 550, 690, 677 is 1

Given Input Data is 267, 550, 690, 677

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 677 is 677

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(267, 550) = 146850

GCD(267, 550) = ( 267 x 550 ) / 146850

GCD(267, 550) = 146850 / 146850

GCD(267, 550) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 267, 550, 690, 677 is 1

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1. What is the GCD of 267, 550, 690, 677?

GCD of 267, 550, 690, 677 is 1

2. Where do I get the detailed procedure to find GCD of 267, 550, 690, 677?

You can find a detailed procedure to find GCD of 267, 550, 690, 677 on our page.

3. How to find GCD of 267, 550, 690, 677 on a calculator?

You can find the GCD of 267, 550, 690, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.