GCD of 746, 352, 88, 958 Calculator

Given Input numbers are 746, 352, 88, 958

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 958

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

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 746, 352, 88, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 352, 88, 958 is 2.

Therefore, GCD of numbers 746, 352, 88, 958 is 2

Given Input Data is 746, 352, 88, 958

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 958 is 2 x 479

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(746, 352) = 131296

GCD(746, 352) = ( 746 x 352 ) / 131296

GCD(746, 352) = 262592 / 131296

GCD(746, 352) = 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 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

GCD of 746, 352, 88, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 587, 78, 115
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• GCD of 985, 775, 95, 517

1. What is the GCD of 746, 352, 88, 958?

GCD of 746, 352, 88, 958 is 2

2. Where do I get the detailed procedure to find GCD of 746, 352, 88, 958?

You can find a detailed procedure to find GCD of 746, 352, 88, 958 on our page.

3. How to find GCD of 746, 352, 88, 958 on a calculator?

You can find the GCD of 746, 352, 88, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.