GCD of 196, 545, 657, 414 Calculator

Given Input numbers are 196, 545, 657, 414

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 196, 545, 657, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 545, 657, 414 is 1.

Therefore, GCD of numbers 196, 545, 657, 414 is 1

Given Input Data is 196, 545, 657, 414

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 545 is 5 x 109

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(196, 545) = 106820

GCD(196, 545) = ( 196 x 545 ) / 106820

GCD(196, 545) = 106820 / 106820

GCD(196, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 196, 545, 657, 414 is 1

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• GCD of 852, 579, 653, 480
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1. What is the GCD of 196, 545, 657, 414?

GCD of 196, 545, 657, 414 is 1

2. Where do I get the detailed procedure to find GCD of 196, 545, 657, 414?

You can find a detailed procedure to find GCD of 196, 545, 657, 414 on our page.

3. How to find GCD of 196, 545, 657, 414 on a calculator?

You can find the GCD of 196, 545, 657, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.