GCD of 962, 100, 919, 692 Calculator

Given Input numbers are 962, 100, 919, 692

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

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 962, 100, 919, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 100, 919, 692 is 1.

Therefore, GCD of numbers 962, 100, 919, 692 is 1

Given Input Data is 962, 100, 919, 692

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 919 is 919

Prime Factorization of 692 is 2 x 2 x 173

The above numbers do not have any common prime factor. So GCD is 1

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(962, 100) = 48100

GCD(962, 100) = ( 962 x 100 ) / 48100

GCD(962, 100) = 96200 / 48100

GCD(962, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 962, 100, 919, 692 is 1

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1. What is the GCD of 962, 100, 919, 692?

GCD of 962, 100, 919, 692 is 1

2. Where do I get the detailed procedure to find GCD of 962, 100, 919, 692?

You can find a detailed procedure to find GCD of 962, 100, 919, 692 on our page.

3. How to find GCD of 962, 100, 919, 692 on a calculator?

You can find the GCD of 962, 100, 919, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.