GCD of 712, 974, 760, 266 Calculator

Given Input numbers are 712, 974, 760, 266

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 712, 974, 760, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 974, 760, 266 is 2.

Therefore, GCD of numbers 712, 974, 760, 266 is 2

Given Input Data is 712, 974, 760, 266

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

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 266 is 2 x 7 x 19

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(712, 974) = 346744

GCD(712, 974) = ( 712 x 974 ) / 346744

GCD(712, 974) = 693488 / 346744

GCD(712, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

GCD of 712, 974, 760, 266 is 2

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1. What is the GCD of 712, 974, 760, 266?

GCD of 712, 974, 760, 266 is 2

2. Where do I get the detailed procedure to find GCD of 712, 974, 760, 266?

You can find a detailed procedure to find GCD of 712, 974, 760, 266 on our page.

3. How to find GCD of 712, 974, 760, 266 on a calculator?

You can find the GCD of 712, 974, 760, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.