GCD of 498, 124, 15, 265 Calculator

Given Input numbers are 498, 124, 15, 265

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 498, 124, 15, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 124, 15, 265 is 1.

Therefore, GCD of numbers 498, 124, 15, 265 is 1

Given Input Data is 498, 124, 15, 265

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 265 is 5 x 53

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(498, 124) = 30876

GCD(498, 124) = ( 498 x 124 ) / 30876

GCD(498, 124) = 61752 / 30876

GCD(498, 124) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 498, 124, 15, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 742, 42, 946
• GCD of 196, 986, 59, 841
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• GCD of 924, 225, 60, 996
• GCD of 212, 808, 62, 123

1. What is the GCD of 498, 124, 15, 265?

GCD of 498, 124, 15, 265 is 1

2. Where do I get the detailed procedure to find GCD of 498, 124, 15, 265?

You can find a detailed procedure to find GCD of 498, 124, 15, 265 on our page.

3. How to find GCD of 498, 124, 15, 265 on a calculator?

You can find the GCD of 498, 124, 15, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.