GCD of 257, 148, 67, 465 Calculator

Given Input numbers are 257, 148, 67, 465

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 257, 148, 67, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 148, 67, 465 is 1.

Therefore, GCD of numbers 257, 148, 67, 465 is 1

Given Input Data is 257, 148, 67, 465

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

Prime Factorization of 257 is 257

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 67 is 67

Prime Factorization of 465 is 3 x 5 x 31

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(257, 148) = 38036

GCD(257, 148) = ( 257 x 148 ) / 38036

GCD(257, 148) = 38036 / 38036

GCD(257, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 257, 148, 67, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 981, 49, 598
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• GCD of 556, 868, 65, 848
• GCD of 549, 252, 83, 308
• GCD of 625, 161, 58, 777

1. What is the GCD of 257, 148, 67, 465?

GCD of 257, 148, 67, 465 is 1

2. Where do I get the detailed procedure to find GCD of 257, 148, 67, 465?

You can find a detailed procedure to find GCD of 257, 148, 67, 465 on our page.

3. How to find GCD of 257, 148, 67, 465 on a calculator?

You can find the GCD of 257, 148, 67, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.