GCD of 740, 350, 553, 137 Calculator

Given Input numbers are 740, 350, 553, 137

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 553

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

1, 7, 79, 553

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 740, 350, 553, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 350, 553, 137 is 1.

Therefore, GCD of numbers 740, 350, 553, 137 is 1

Given Input Data is 740, 350, 553, 137

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 553 is 7 x 79

Prime Factorization of 137 is 137

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(740, 350) = 25900

GCD(740, 350) = ( 740 x 350 ) / 25900

GCD(740, 350) = 259000 / 25900

GCD(740, 350) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 553

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

LCM(10, 553) = 5530

GCD(10, 553) = ( 10 x 553 ) / 5530

GCD(10, 553) = 5530 / 5530

GCD(10, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 740, 350, 553, 137 is 1

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1. What is the GCD of 740, 350, 553, 137?

GCD of 740, 350, 553, 137 is 1

2. Where do I get the detailed procedure to find GCD of 740, 350, 553, 137?

You can find a detailed procedure to find GCD of 740, 350, 553, 137 on our page.

3. How to find GCD of 740, 350, 553, 137 on a calculator?

You can find the GCD of 740, 350, 553, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.