GCD of 74, 145, 971, 444 Calculator

Given Input numbers are 74, 145, 971, 444

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 74, 145, 971, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 145, 971, 444 is 1.

Therefore, GCD of numbers 74, 145, 971, 444 is 1

Given Input Data is 74, 145, 971, 444

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 145 is 5 x 29

Prime Factorization of 971 is 971

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(74, 145) = 10730

GCD(74, 145) = ( 74 x 145 ) / 10730

GCD(74, 145) = 10730 / 10730

GCD(74, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 74, 145, 971, 444 is 1

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• GCD of 99, 319, 880, 721
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• GCD of 76, 507, 572, 884

1. What is the GCD of 74, 145, 971, 444?

GCD of 74, 145, 971, 444 is 1

2. Where do I get the detailed procedure to find GCD of 74, 145, 971, 444?

You can find a detailed procedure to find GCD of 74, 145, 971, 444 on our page.

3. How to find GCD of 74, 145, 971, 444 on a calculator?

You can find the GCD of 74, 145, 971, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.