GCD of 708, 820, 735, 769 Calculator

Given Input numbers are 708, 820, 735, 769

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 708, 820, 735, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 820, 735, 769 is 1.

Therefore, GCD of numbers 708, 820, 735, 769 is 1

Given Input Data is 708, 820, 735, 769

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 769 is 769

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(708, 820) = 145140

GCD(708, 820) = ( 708 x 820 ) / 145140

GCD(708, 820) = 580560 / 145140

GCD(708, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 708, 820, 735, 769 is 1

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1. What is the GCD of 708, 820, 735, 769?

GCD of 708, 820, 735, 769 is 1

2. Where do I get the detailed procedure to find GCD of 708, 820, 735, 769?

You can find a detailed procedure to find GCD of 708, 820, 735, 769 on our page.

3. How to find GCD of 708, 820, 735, 769 on a calculator?

You can find the GCD of 708, 820, 735, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.