GCD of 749, 495, 80, 700 Calculator

Given Input numbers are 749, 495, 80, 700

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 749, 495, 80, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 495, 80, 700 is 1.

Therefore, GCD of numbers 749, 495, 80, 700 is 1

Given Input Data is 749, 495, 80, 700

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(749, 495) = 370755

GCD(749, 495) = ( 749 x 495 ) / 370755

GCD(749, 495) = 370755 / 370755

GCD(749, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 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 749, 495, 80, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 452, 66, 921
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• GCD of 467, 197, 95, 413
• GCD of 327, 184, 29, 813
• GCD of 456, 405, 17, 733

1. What is the GCD of 749, 495, 80, 700?

GCD of 749, 495, 80, 700 is 1

2. Where do I get the detailed procedure to find GCD of 749, 495, 80, 700?

You can find a detailed procedure to find GCD of 749, 495, 80, 700 on our page.

3. How to find GCD of 749, 495, 80, 700 on a calculator?

You can find the GCD of 749, 495, 80, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.