GCD of 700, 432, 574, 567 Calculator

Given Input numbers are 700, 432, 574, 567

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 700, 432, 574, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 432, 574, 567 is 1.

Therefore, GCD of numbers 700, 432, 574, 567 is 1

Given Input Data is 700, 432, 574, 567

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 567 is 3 x 3 x 3 x 3 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(700, 432) = 75600

GCD(700, 432) = ( 700 x 432 ) / 75600

GCD(700, 432) = 302400 / 75600

GCD(700, 432) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 574

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

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

GCD(4, 574) = 2296 / 1148

GCD(4, 574) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 700, 432, 574, 567 is 1

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• GCD of 971, 913, 905, 869
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1. What is the GCD of 700, 432, 574, 567?

GCD of 700, 432, 574, 567 is 1

2. Where do I get the detailed procedure to find GCD of 700, 432, 574, 567?

You can find a detailed procedure to find GCD of 700, 432, 574, 567 on our page.

3. How to find GCD of 700, 432, 574, 567 on a calculator?

You can find the GCD of 700, 432, 574, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.