GCD of 746, 563, 700, 830 Calculator

Given Input numbers are 746, 563, 700, 830

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 746, 563, 700, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 563, 700, 830 is 1.

Therefore, GCD of numbers 746, 563, 700, 830 is 1

Given Input Data is 746, 563, 700, 830

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 563 is 563

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

Prime Factorization of 830 is 2 x 5 x 83

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(746, 563) = 419998

GCD(746, 563) = ( 746 x 563 ) / 419998

GCD(746, 563) = 419998 / 419998

GCD(746, 563) = 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 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 746, 563, 700, 830 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 572, 948, 590
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• GCD of 680, 881, 209, 890

1. What is the GCD of 746, 563, 700, 830?

GCD of 746, 563, 700, 830 is 1

2. Where do I get the detailed procedure to find GCD of 746, 563, 700, 830?

You can find a detailed procedure to find GCD of 746, 563, 700, 830 on our page.

3. How to find GCD of 746, 563, 700, 830 on a calculator?

You can find the GCD of 746, 563, 700, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.