GCD of 734, 534, 946, 562 Calculator

Given Input numbers are 734, 534, 946, 562

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 734, 534, 946, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 534, 946, 562 is 2.

Therefore, GCD of numbers 734, 534, 946, 562 is 2

Given Input Data is 734, 534, 946, 562

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 562 is 2 x 281

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(734, 534) = 195978

GCD(734, 534) = ( 734 x 534 ) / 195978

GCD(734, 534) = 391956 / 195978

GCD(734, 534) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 734, 534, 946, 562 is 2

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1. What is the GCD of 734, 534, 946, 562?

GCD of 734, 534, 946, 562 is 2

2. Where do I get the detailed procedure to find GCD of 734, 534, 946, 562?

You can find a detailed procedure to find GCD of 734, 534, 946, 562 on our page.

3. How to find GCD of 734, 534, 946, 562 on a calculator?

You can find the GCD of 734, 534, 946, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.