GCD of 542, 954, 84, 734 Calculator

Given Input numbers are 542, 954, 84, 734

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 734

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

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 542, 954, 84, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 954, 84, 734 is 2.

Therefore, GCD of numbers 542, 954, 84, 734 is 2

Given Input Data is 542, 954, 84, 734

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 734 is 2 x 367

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(542, 954) = 258534

GCD(542, 954) = ( 542 x 954 ) / 258534

GCD(542, 954) = 517068 / 258534

GCD(542, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 542, 954, 84, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 581, 31, 472
• GCD of 923, 730, 32, 761
• GCD of 118, 234, 70, 525
• GCD of 949, 812, 57, 654
• GCD of 477, 479, 78, 148

1. What is the GCD of 542, 954, 84, 734?

GCD of 542, 954, 84, 734 is 2

2. Where do I get the detailed procedure to find GCD of 542, 954, 84, 734?

You can find a detailed procedure to find GCD of 542, 954, 84, 734 on our page.

3. How to find GCD of 542, 954, 84, 734 on a calculator?

You can find the GCD of 542, 954, 84, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.