GCD of 643, 700, 67, 133 Calculator

Given Input numbers are 643, 700, 67, 133

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 643, 700, 67, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 700, 67, 133 is 1.

Therefore, GCD of numbers 643, 700, 67, 133 is 1

Given Input Data is 643, 700, 67, 133

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

Prime Factorization of 643 is 643

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

Prime Factorization of 67 is 67

Prime Factorization of 133 is 7 x 19

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(643, 700) = 450100

GCD(643, 700) = ( 643 x 700 ) / 450100

GCD(643, 700) = 450100 / 450100

GCD(643, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 643, 700, 67, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 166, 77, 313
• GCD of 491, 601, 26, 629
• GCD of 679, 892, 71, 225
• GCD of 240, 405, 25, 845
• GCD of 901, 296, 84, 664

1. What is the GCD of 643, 700, 67, 133?

GCD of 643, 700, 67, 133 is 1

2. Where do I get the detailed procedure to find GCD of 643, 700, 67, 133?

You can find a detailed procedure to find GCD of 643, 700, 67, 133 on our page.

3. How to find GCD of 643, 700, 67, 133 on a calculator?

You can find the GCD of 643, 700, 67, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.