GCD of 974, 760, 104, 576 Calculator

Given Input numbers are 974, 760, 104, 576

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 974, 760, 104, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 760, 104, 576 is 2.

Therefore, GCD of numbers 974, 760, 104, 576 is 2

Given Input Data is 974, 760, 104, 576

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(974, 760) = 370120

GCD(974, 760) = ( 974 x 760 ) / 370120

GCD(974, 760) = 740240 / 370120

GCD(974, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 974, 760, 104, 576 is 2

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1. What is the GCD of 974, 760, 104, 576?

GCD of 974, 760, 104, 576 is 2

2. Where do I get the detailed procedure to find GCD of 974, 760, 104, 576?

You can find a detailed procedure to find GCD of 974, 760, 104, 576 on our page.

3. How to find GCD of 974, 760, 104, 576 on a calculator?

You can find the GCD of 974, 760, 104, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.