GCD of 612, 140, 536, 692 Calculator

Given Input numbers are 612, 140, 536, 692

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 612, 140, 536, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 140, 536, 692 is 4.

Therefore, GCD of numbers 612, 140, 536, 692 is 4

Given Input Data is 612, 140, 536, 692

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 692 is 2 x 2 x 173

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(612, 140) = 21420

GCD(612, 140) = ( 612 x 140 ) / 21420

GCD(612, 140) = 85680 / 21420

GCD(612, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 536

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

LCM(4, 536) = 536

GCD(4, 536) = ( 4 x 536 ) / 536

GCD(4, 536) = 2144 / 536

GCD(4, 536) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 692

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

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

GCD(4, 692) = 2768 / 692

GCD(4, 692) = 4

GCD of 612, 140, 536, 692 is 4

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1. What is the GCD of 612, 140, 536, 692?

GCD of 612, 140, 536, 692 is 4

2. Where do I get the detailed procedure to find GCD of 612, 140, 536, 692?

You can find a detailed procedure to find GCD of 612, 140, 536, 692 on our page.

3. How to find GCD of 612, 140, 536, 692 on a calculator?

You can find the GCD of 612, 140, 536, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.