GCD of 296, 700, 781, 989 Calculator

Given Input numbers are 296, 700, 781, 989

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 296, 700, 781, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 700, 781, 989 is 1.

Therefore, GCD of numbers 296, 700, 781, 989 is 1

Given Input Data is 296, 700, 781, 989

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 781 is 11 x 71

Prime Factorization of 989 is 23 x 43

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(296, 700) = 51800

GCD(296, 700) = ( 296 x 700 ) / 51800

GCD(296, 700) = 207200 / 51800

GCD(296, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 781

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

LCM(4, 781) = 3124

GCD(4, 781) = ( 4 x 781 ) / 3124

GCD(4, 781) = 3124 / 3124

GCD(4, 781) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 296, 700, 781, 989 is 1

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1. What is the GCD of 296, 700, 781, 989?

GCD of 296, 700, 781, 989 is 1

2. Where do I get the detailed procedure to find GCD of 296, 700, 781, 989?

You can find a detailed procedure to find GCD of 296, 700, 781, 989 on our page.

3. How to find GCD of 296, 700, 781, 989 on a calculator?

You can find the GCD of 296, 700, 781, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.