GCD of 672, 700, 734, 542 Calculator

Given Input numbers are 672, 700, 734, 542

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 734

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

1, 2, 367, 734

Divisors of 542

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

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 672, 700, 734, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 700, 734, 542 is 2.

Therefore, GCD of numbers 672, 700, 734, 542 is 2

Given Input Data is 672, 700, 734, 542

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 734 is 2 x 367

Prime Factorization of 542 is 2 x 271

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(672, 700) = 16800

GCD(672, 700) = ( 672 x 700 ) / 16800

GCD(672, 700) = 470400 / 16800

GCD(672, 700) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 734

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

LCM(28, 734) = 10276

GCD(28, 734) = ( 28 x 734 ) / 10276

GCD(28, 734) = 20552 / 10276

GCD(28, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 672, 700, 734, 542 is 2

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1. What is the GCD of 672, 700, 734, 542?

GCD of 672, 700, 734, 542 is 2

2. Where do I get the detailed procedure to find GCD of 672, 700, 734, 542?

You can find a detailed procedure to find GCD of 672, 700, 734, 542 on our page.

3. How to find GCD of 672, 700, 734, 542 on a calculator?

You can find the GCD of 672, 700, 734, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.