GCD of 971, 749, 76, 553 Calculator

Given Input numbers are 971, 749, 76, 553

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

Divisors of 971

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

1, 971

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 553

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

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 971, 749, 76, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 749, 76, 553 is 1.

Therefore, GCD of numbers 971, 749, 76, 553 is 1

Given Input Data is 971, 749, 76, 553

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

Prime Factorization of 971 is 971

Prime Factorization of 749 is 7 x 107

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 553 is 7 x 79

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(971, 749) = 727279

GCD(971, 749) = ( 971 x 749 ) / 727279

GCD(971, 749) = 727279 / 727279

GCD(971, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 971, 749, 76, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 233, 53, 132
• GCD of 847, 278, 58, 704
• GCD of 941, 370, 90, 555
• GCD of 189, 123, 87, 476
• GCD of 761, 265, 49, 572

1. What is the GCD of 971, 749, 76, 553?

GCD of 971, 749, 76, 553 is 1

2. Where do I get the detailed procedure to find GCD of 971, 749, 76, 553?

You can find a detailed procedure to find GCD of 971, 749, 76, 553 on our page.

3. How to find GCD of 971, 749, 76, 553 on a calculator?

You can find the GCD of 971, 749, 76, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.