GCD of 958, 664, 48, 614 Calculator

Given Input numbers are 958, 664, 48, 614

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 614

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

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 958, 664, 48, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 664, 48, 614 is 2.

Therefore, GCD of numbers 958, 664, 48, 614 is 2

Given Input Data is 958, 664, 48, 614

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 614 is 2 x 307

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(958, 664) = 318056

GCD(958, 664) = ( 958 x 664 ) / 318056

GCD(958, 664) = 636112 / 318056

GCD(958, 664) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 958, 664, 48, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 132, 83, 722
• GCD of 788, 731, 74, 821
• GCD of 609, 208, 15, 932
• GCD of 836, 848, 63, 683
• GCD of 694, 492, 17, 519

1. What is the GCD of 958, 664, 48, 614?

GCD of 958, 664, 48, 614 is 2

2. Where do I get the detailed procedure to find GCD of 958, 664, 48, 614?

You can find a detailed procedure to find GCD of 958, 664, 48, 614 on our page.

3. How to find GCD of 958, 664, 48, 614 on a calculator?

You can find the GCD of 958, 664, 48, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.