GCD of 614, 502, 49, 661 Calculator

Given Input numbers are 614, 502, 49, 661

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 614, 502, 49, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 502, 49, 661 is 1.

Therefore, GCD of numbers 614, 502, 49, 661 is 1

Given Input Data is 614, 502, 49, 661

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 502 is 2 x 251

Prime Factorization of 49 is 7 x 7

Prime Factorization of 661 is 661

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(614, 502) = 154114

GCD(614, 502) = ( 614 x 502 ) / 154114

GCD(614, 502) = 308228 / 154114

GCD(614, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 614, 502, 49, 661 is 1

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• GCD of 822, 483, 58, 685
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1. What is the GCD of 614, 502, 49, 661?

GCD of 614, 502, 49, 661 is 1

2. Where do I get the detailed procedure to find GCD of 614, 502, 49, 661?

You can find a detailed procedure to find GCD of 614, 502, 49, 661 on our page.

3. How to find GCD of 614, 502, 49, 661 on a calculator?

You can find the GCD of 614, 502, 49, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.