GCD of 700, 913, 406, 740 Calculator

Given Input numbers are 700, 913, 406, 740

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

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 700, 913, 406, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 913, 406, 740 is 1.

Therefore, GCD of numbers 700, 913, 406, 740 is 1

Given Input Data is 700, 913, 406, 740

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

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(700, 913) = 639100

GCD(700, 913) = ( 700 x 913 ) / 639100

GCD(700, 913) = 639100 / 639100

GCD(700, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 700, 913, 406, 740 is 1

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1. What is the GCD of 700, 913, 406, 740?

GCD of 700, 913, 406, 740 is 1

2. Where do I get the detailed procedure to find GCD of 700, 913, 406, 740?

You can find a detailed procedure to find GCD of 700, 913, 406, 740 on our page.

3. How to find GCD of 700, 913, 406, 740 on a calculator?

You can find the GCD of 700, 913, 406, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.