GCD of 840, 257, 693, 929 Calculator

Given Input numbers are 840, 257, 693, 929

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 840, 257, 693, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 257, 693, 929 is 1.

Therefore, GCD of numbers 840, 257, 693, 929 is 1

Given Input Data is 840, 257, 693, 929

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 257 is 257

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 929 is 929

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(840, 257) = 215880

GCD(840, 257) = ( 840 x 257 ) / 215880

GCD(840, 257) = 215880 / 215880

GCD(840, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 840, 257, 693, 929 is 1

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1. What is the GCD of 840, 257, 693, 929?

GCD of 840, 257, 693, 929 is 1

2. Where do I get the detailed procedure to find GCD of 840, 257, 693, 929?

You can find a detailed procedure to find GCD of 840, 257, 693, 929 on our page.

3. How to find GCD of 840, 257, 693, 929 on a calculator?

You can find the GCD of 840, 257, 693, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.