GCD of 453, 492, 707, 700 Calculator

Given Input numbers are 453, 492, 707, 700

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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

Greatest Common Divisior

We found the divisors of 453, 492, 707, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 492, 707, 700 is 1.

Therefore, GCD of numbers 453, 492, 707, 700 is 1

Given Input Data is 453, 492, 707, 700

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 707 is 7 x 101

Prime Factorization of 700 is 2 x 2 x 5 x 5 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(453, 492) = 74292

GCD(453, 492) = ( 453 x 492 ) / 74292

GCD(453, 492) = 222876 / 74292

GCD(453, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 707

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

LCM(3, 707) = 2121

GCD(3, 707) = ( 3 x 707 ) / 2121

GCD(3, 707) = 2121 / 2121

GCD(3, 707) = 1

Step3:

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

GCD of 453, 492, 707, 700 is 1

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1. What is the GCD of 453, 492, 707, 700?

GCD of 453, 492, 707, 700 is 1

2. Where do I get the detailed procedure to find GCD of 453, 492, 707, 700?

You can find a detailed procedure to find GCD of 453, 492, 707, 700 on our page.

3. How to find GCD of 453, 492, 707, 700 on a calculator?

You can find the GCD of 453, 492, 707, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.