GCD of 196, 724, 692, 958 Calculator

Given Input numbers are 196, 724, 692, 958

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

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 196, 724, 692, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 724, 692, 958 is 2.

Therefore, GCD of numbers 196, 724, 692, 958 is 2

Given Input Data is 196, 724, 692, 958

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 692 is 2 x 2 x 173

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(196, 724) = 35476

GCD(196, 724) = ( 196 x 724 ) / 35476

GCD(196, 724) = 141904 / 35476

GCD(196, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 692

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

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

GCD(4, 692) = 2768 / 692

GCD(4, 692) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 958

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

LCM(4, 958) = 1916

GCD(4, 958) = ( 4 x 958 ) / 1916

GCD(4, 958) = 3832 / 1916

GCD(4, 958) = 2

GCD of 196, 724, 692, 958 is 2

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1. What is the GCD of 196, 724, 692, 958?

GCD of 196, 724, 692, 958 is 2

2. Where do I get the detailed procedure to find GCD of 196, 724, 692, 958?

You can find a detailed procedure to find GCD of 196, 724, 692, 958 on our page.

3. How to find GCD of 196, 724, 692, 958 on a calculator?

You can find the GCD of 196, 724, 692, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.