GCD of 190, 672, 708, 986 Calculator

Given Input numbers are 190, 672, 708, 986

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 190, 672, 708, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 672, 708, 986 is 2.

Therefore, GCD of numbers 190, 672, 708, 986 is 2

Given Input Data is 190, 672, 708, 986

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 986 is 2 x 17 x 29

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(190, 672) = 63840

GCD(190, 672) = ( 190 x 672 ) / 63840

GCD(190, 672) = 127680 / 63840

GCD(190, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 190, 672, 708, 986 is 2

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1. What is the GCD of 190, 672, 708, 986?

GCD of 190, 672, 708, 986 is 2

2. Where do I get the detailed procedure to find GCD of 190, 672, 708, 986?

You can find a detailed procedure to find GCD of 190, 672, 708, 986 on our page.

3. How to find GCD of 190, 672, 708, 986 on a calculator?

You can find the GCD of 190, 672, 708, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.