GCD of 958, 742, 88, 370 Calculator

Given Input numbers are 958, 742, 88, 370

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 958, 742, 88, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 742, 88, 370 is 2.

Therefore, GCD of numbers 958, 742, 88, 370 is 2

Given Input Data is 958, 742, 88, 370

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 370 is 2 x 5 x 37

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, 742) = 355418

GCD(958, 742) = ( 958 x 742 ) / 355418

GCD(958, 742) = 710836 / 355418

GCD(958, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 958, 742, 88, 370 is 2

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1. What is the GCD of 958, 742, 88, 370?

GCD of 958, 742, 88, 370 is 2

2. Where do I get the detailed procedure to find GCD of 958, 742, 88, 370?

You can find a detailed procedure to find GCD of 958, 742, 88, 370 on our page.

3. How to find GCD of 958, 742, 88, 370 on a calculator?

You can find the GCD of 958, 742, 88, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.