GCD of 738, 105, 553, 677 Calculator

Given Input numbers are 738, 105, 553, 677

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 738, 105, 553, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 105, 553, 677 is 1.

Therefore, GCD of numbers 738, 105, 553, 677 is 1

Given Input Data is 738, 105, 553, 677

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 553 is 7 x 79

Prime Factorization of 677 is 677

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(738, 105) = 25830

GCD(738, 105) = ( 738 x 105 ) / 25830

GCD(738, 105) = 77490 / 25830

GCD(738, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 553

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

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

GCD(3, 553) = 1659 / 1659

GCD(3, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 738, 105, 553, 677 is 1

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• GCD of 231, 166, 825, 780
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1. What is the GCD of 738, 105, 553, 677?

GCD of 738, 105, 553, 677 is 1

2. Where do I get the detailed procedure to find GCD of 738, 105, 553, 677?

You can find a detailed procedure to find GCD of 738, 105, 553, 677 on our page.

3. How to find GCD of 738, 105, 553, 677 on a calculator?

You can find the GCD of 738, 105, 553, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.