GCD of 902, 678, 550, 649 Calculator

Given Input numbers are 902, 678, 550, 649

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 902, 678, 550, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 678, 550, 649 is 1.

Therefore, GCD of numbers 902, 678, 550, 649 is 1

Given Input Data is 902, 678, 550, 649

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 678 is 2 x 3 x 113

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

Prime Factorization of 649 is 11 x 59

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(902, 678) = 305778

GCD(902, 678) = ( 902 x 678 ) / 305778

GCD(902, 678) = 611556 / 305778

GCD(902, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

GCD of 902, 678, 550, 649 is 1

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1. What is the GCD of 902, 678, 550, 649?

GCD of 902, 678, 550, 649 is 1

2. Where do I get the detailed procedure to find GCD of 902, 678, 550, 649?

You can find a detailed procedure to find GCD of 902, 678, 550, 649 on our page.

3. How to find GCD of 902, 678, 550, 649 on a calculator?

You can find the GCD of 902, 678, 550, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.