GCD of 629, 343, 700, 894 Calculator

Given Input numbers are 629, 343, 700, 894

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 629, 343, 700, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 343, 700, 894 is 1.

Therefore, GCD of numbers 629, 343, 700, 894 is 1

Given Input Data is 629, 343, 700, 894

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 343 is 7 x 7 x 7

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

Prime Factorization of 894 is 2 x 3 x 149

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(629, 343) = 215747

GCD(629, 343) = ( 629 x 343 ) / 215747

GCD(629, 343) = 215747 / 215747

GCD(629, 343) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 629, 343, 700, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 723, 573, 221
• GCD of 821, 667, 225, 301
• GCD of 783, 598, 968, 328
• GCD of 617, 251, 358, 576
• GCD of 588, 780, 553, 287

1. What is the GCD of 629, 343, 700, 894?

GCD of 629, 343, 700, 894 is 1

2. Where do I get the detailed procedure to find GCD of 629, 343, 700, 894?

You can find a detailed procedure to find GCD of 629, 343, 700, 894 on our page.

3. How to find GCD of 629, 343, 700, 894 on a calculator?

You can find the GCD of 629, 343, 700, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.