GCD of 966, 619, 688, 100 Calculator

Given Input numbers are 966, 619, 688, 100

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

Greatest Common Divisior

We found the divisors of 966, 619, 688, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 619, 688, 100 is 1.

Therefore, GCD of numbers 966, 619, 688, 100 is 1

Given Input Data is 966, 619, 688, 100

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 619 is 619

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

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(966, 619) = 597954

GCD(966, 619) = ( 966 x 619 ) / 597954

GCD(966, 619) = 597954 / 597954

GCD(966, 619) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 966, 619, 688, 100 is 1

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1. What is the GCD of 966, 619, 688, 100?

GCD of 966, 619, 688, 100 is 1

2. Where do I get the detailed procedure to find GCD of 966, 619, 688, 100?

You can find a detailed procedure to find GCD of 966, 619, 688, 100 on our page.

3. How to find GCD of 966, 619, 688, 100 on a calculator?

You can find the GCD of 966, 619, 688, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.