GCD of 758, 670, 362, 566 Calculator

Given Input numbers are 758, 670, 362, 566

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 758, 670, 362, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 670, 362, 566 is 2.

Therefore, GCD of numbers 758, 670, 362, 566 is 2

Given Input Data is 758, 670, 362, 566

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 362 is 2 x 181

Prime Factorization of 566 is 2 x 283

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(758, 670) = 253930

GCD(758, 670) = ( 758 x 670 ) / 253930

GCD(758, 670) = 507860 / 253930

GCD(758, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

GCD of 758, 670, 362, 566 is 2

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1. What is the GCD of 758, 670, 362, 566?

GCD of 758, 670, 362, 566 is 2

2. Where do I get the detailed procedure to find GCD of 758, 670, 362, 566?

You can find a detailed procedure to find GCD of 758, 670, 362, 566 on our page.

3. How to find GCD of 758, 670, 362, 566 on a calculator?

You can find the GCD of 758, 670, 362, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.