GCD of 274, 506, 564, 762 Calculator

Given Input numbers are 274, 506, 564, 762

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 274, 506, 564, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 506, 564, 762 is 2.

Therefore, GCD of numbers 274, 506, 564, 762 is 2

Given Input Data is 274, 506, 564, 762

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 762 is 2 x 3 x 127

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(274, 506) = 69322

GCD(274, 506) = ( 274 x 506 ) / 69322

GCD(274, 506) = 138644 / 69322

GCD(274, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

GCD of 274, 506, 564, 762 is 2

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• GCD of 971, 175, 698, 985
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1. What is the GCD of 274, 506, 564, 762?

GCD of 274, 506, 564, 762 is 2

2. Where do I get the detailed procedure to find GCD of 274, 506, 564, 762?

You can find a detailed procedure to find GCD of 274, 506, 564, 762 on our page.

3. How to find GCD of 274, 506, 564, 762 on a calculator?

You can find the GCD of 274, 506, 564, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.