GCD of 61, 972, 753, 608 Calculator

Given Input numbers are 61, 972, 753, 608

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 61, 972, 753, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 972, 753, 608 is 1.

Therefore, GCD of numbers 61, 972, 753, 608 is 1

Given Input Data is 61, 972, 753, 608

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

Prime Factorization of 61 is 61

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 753 is 3 x 251

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(61, 972) = 59292

GCD(61, 972) = ( 61 x 972 ) / 59292

GCD(61, 972) = 59292 / 59292

GCD(61, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 61, 972, 753, 608 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 401, 726, 727
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• GCD of 74, 904, 655, 672
• GCD of 41, 640, 339, 746
• GCD of 34, 764, 297, 564

1. What is the GCD of 61, 972, 753, 608?

GCD of 61, 972, 753, 608 is 1

2. Where do I get the detailed procedure to find GCD of 61, 972, 753, 608?

You can find a detailed procedure to find GCD of 61, 972, 753, 608 on our page.

3. How to find GCD of 61, 972, 753, 608 on a calculator?

You can find the GCD of 61, 972, 753, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.