GCD of 734, 705, 769, 997 Calculator

Given Input numbers are 734, 705, 769, 997

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 769

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

1, 769

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 734, 705, 769, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 705, 769, 997 is 1.

Therefore, GCD of numbers 734, 705, 769, 997 is 1

Given Input Data is 734, 705, 769, 997

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 769 is 769

Prime Factorization of 997 is 997

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(734, 705) = 517470

GCD(734, 705) = ( 734 x 705 ) / 517470

GCD(734, 705) = 517470 / 517470

GCD(734, 705) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 734, 705, 769, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 824, 912, 670
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1. What is the GCD of 734, 705, 769, 997?

GCD of 734, 705, 769, 997 is 1

2. Where do I get the detailed procedure to find GCD of 734, 705, 769, 997?

You can find a detailed procedure to find GCD of 734, 705, 769, 997 on our page.

3. How to find GCD of 734, 705, 769, 997 on a calculator?

You can find the GCD of 734, 705, 769, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.