GCD of 461, 114, 545, 165 Calculator

Given Input numbers are 461, 114, 545, 165

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 545

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

1, 5, 109, 545

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 461, 114, 545, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 114, 545, 165 is 1.

Therefore, GCD of numbers 461, 114, 545, 165 is 1

Given Input Data is 461, 114, 545, 165

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

Prime Factorization of 461 is 461

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 545 is 5 x 109

Prime Factorization of 165 is 3 x 5 x 11

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(461, 114) = 52554

GCD(461, 114) = ( 461 x 114 ) / 52554

GCD(461, 114) = 52554 / 52554

GCD(461, 114) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 461, 114, 545, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 988, 597, 631
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• GCD of 338, 934, 852, 546
• GCD of 929, 628, 412, 159

1. What is the GCD of 461, 114, 545, 165?

GCD of 461, 114, 545, 165 is 1

2. Where do I get the detailed procedure to find GCD of 461, 114, 545, 165?

You can find a detailed procedure to find GCD of 461, 114, 545, 165 on our page.

3. How to find GCD of 461, 114, 545, 165 on a calculator?

You can find the GCD of 461, 114, 545, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.