GCD of 340, 929, 689, 700 Calculator

Given Input numbers are 340, 929, 689, 700

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 929

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

1, 929

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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

Greatest Common Divisior

We found the divisors of 340, 929, 689, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 929, 689, 700 is 1.

Therefore, GCD of numbers 340, 929, 689, 700 is 1

Given Input Data is 340, 929, 689, 700

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 929 is 929

Prime Factorization of 689 is 13 x 53

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

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(340, 929) = 315860

GCD(340, 929) = ( 340 x 929 ) / 315860

GCD(340, 929) = 315860 / 315860

GCD(340, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 340, 929, 689, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 665, 157, 494
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• GCD of 204, 260, 471, 254
• GCD of 299, 589, 985, 111

1. What is the GCD of 340, 929, 689, 700?

GCD of 340, 929, 689, 700 is 1

2. Where do I get the detailed procedure to find GCD of 340, 929, 689, 700?

You can find a detailed procedure to find GCD of 340, 929, 689, 700 on our page.

3. How to find GCD of 340, 929, 689, 700 on a calculator?

You can find the GCD of 340, 929, 689, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.