GCD of 960, 406, 98, 692 Calculator

Given Input numbers are 960, 406, 98, 692

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 960, 406, 98, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 406, 98, 692 is 2.

Therefore, GCD of numbers 960, 406, 98, 692 is 2

Given Input Data is 960, 406, 98, 692

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 692 is 2 x 2 x 173

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(960, 406) = 194880

GCD(960, 406) = ( 960 x 406 ) / 194880

GCD(960, 406) = 389760 / 194880

GCD(960, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 960, 406, 98, 692 is 2

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1. What is the GCD of 960, 406, 98, 692?

GCD of 960, 406, 98, 692 is 2

2. Where do I get the detailed procedure to find GCD of 960, 406, 98, 692?

You can find a detailed procedure to find GCD of 960, 406, 98, 692 on our page.

3. How to find GCD of 960, 406, 98, 692 on a calculator?

You can find the GCD of 960, 406, 98, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.