GCD of 769, 359, 690, 914 Calculator

Given Input numbers are 769, 359, 690, 914

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 769, 359, 690, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 359, 690, 914 is 1.

Therefore, GCD of numbers 769, 359, 690, 914 is 1

Given Input Data is 769, 359, 690, 914

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

Prime Factorization of 769 is 769

Prime Factorization of 359 is 359

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 914 is 2 x 457

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(769, 359) = 276071

GCD(769, 359) = ( 769 x 359 ) / 276071

GCD(769, 359) = 276071 / 276071

GCD(769, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 769, 359, 690, 914 is 1

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1. What is the GCD of 769, 359, 690, 914?

GCD of 769, 359, 690, 914 is 1

2. Where do I get the detailed procedure to find GCD of 769, 359, 690, 914?

You can find a detailed procedure to find GCD of 769, 359, 690, 914 on our page.

3. How to find GCD of 769, 359, 690, 914 on a calculator?

You can find the GCD of 769, 359, 690, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.