GCD of 928, 700, 851, 986 Calculator

Given Input numbers are 928, 700, 851, 986

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 928, 700, 851, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 700, 851, 986 is 1.

Therefore, GCD of numbers 928, 700, 851, 986 is 1

Given Input Data is 928, 700, 851, 986

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 986 is 2 x 17 x 29

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(928, 700) = 162400

GCD(928, 700) = ( 928 x 700 ) / 162400

GCD(928, 700) = 649600 / 162400

GCD(928, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 851

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

LCM(4, 851) = 3404

GCD(4, 851) = ( 4 x 851 ) / 3404

GCD(4, 851) = 3404 / 3404

GCD(4, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 928, 700, 851, 986 is 1

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• GCD of 262, 551, 486, 586
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• GCD of 679, 913, 770, 986

1. What is the GCD of 928, 700, 851, 986?

GCD of 928, 700, 851, 986 is 1

2. Where do I get the detailed procedure to find GCD of 928, 700, 851, 986?

You can find a detailed procedure to find GCD of 928, 700, 851, 986 on our page.

3. How to find GCD of 928, 700, 851, 986 on a calculator?

You can find the GCD of 928, 700, 851, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.