GCD of 196, 620, 96, 786 Calculator

Given Input numbers are 196, 620, 96, 786

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 196, 620, 96, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 620, 96, 786 is 2.

Therefore, GCD of numbers 196, 620, 96, 786 is 2

Given Input Data is 196, 620, 96, 786

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 620 is 2 x 2 x 5 x 31

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 786 is 2 x 3 x 131

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, 620) = 30380

GCD(196, 620) = ( 196 x 620 ) / 30380

GCD(196, 620) = 121520 / 30380

GCD(196, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 786

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

LCM(4, 786) = 1572

GCD(4, 786) = ( 4 x 786 ) / 1572

GCD(4, 786) = 3144 / 1572

GCD(4, 786) = 2

GCD of 196, 620, 96, 786 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 389, 43, 212
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• GCD of 483, 496, 95, 518
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• GCD of 714, 541, 22, 746

1. What is the GCD of 196, 620, 96, 786?

GCD of 196, 620, 96, 786 is 2

2. Where do I get the detailed procedure to find GCD of 196, 620, 96, 786?

You can find a detailed procedure to find GCD of 196, 620, 96, 786 on our page.

3. How to find GCD of 196, 620, 96, 786 on a calculator?

You can find the GCD of 196, 620, 96, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.