GCD of 700, 488, 577, 474 Calculator

Given Input numbers are 700, 488, 577, 474

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 700, 488, 577, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 488, 577, 474 is 1.

Therefore, GCD of numbers 700, 488, 577, 474 is 1

Given Input Data is 700, 488, 577, 474

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 488 is 2 x 2 x 2 x 61

Prime Factorization of 577 is 577

Prime Factorization of 474 is 2 x 3 x 79

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, 488) = 85400

GCD(700, 488) = ( 700 x 488 ) / 85400

GCD(700, 488) = 341600 / 85400

GCD(700, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 577

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

LCM(4, 577) = 2308

GCD(4, 577) = ( 4 x 577 ) / 2308

GCD(4, 577) = 2308 / 2308

GCD(4, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 700, 488, 577, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 745, 889, 851
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• GCD of 376, 213, 686, 553
• GCD of 393, 677, 486, 915

1. What is the GCD of 700, 488, 577, 474?

GCD of 700, 488, 577, 474 is 1

2. Where do I get the detailed procedure to find GCD of 700, 488, 577, 474?

You can find a detailed procedure to find GCD of 700, 488, 577, 474 on our page.

3. How to find GCD of 700, 488, 577, 474 on a calculator?

You can find the GCD of 700, 488, 577, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.