GCD of 536, 968, 44, 692 Calculator

Given Input numbers are 536, 968, 44, 692

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

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 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 536, 968, 44, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 968, 44, 692 is 4.

Therefore, GCD of numbers 536, 968, 44, 692 is 4

Given Input Data is 536, 968, 44, 692

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

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 44 is 2 x 2 x 11

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(536, 968) = 64856

GCD(536, 968) = ( 536 x 968 ) / 64856

GCD(536, 968) = 518848 / 64856

GCD(536, 968) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 44

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

LCM(8, 44) = 88

GCD(8, 44) = ( 8 x 44 ) / 88

GCD(8, 44) = 352 / 88

GCD(8, 44) = 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 536, 968, 44, 692 is 4

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1. What is the GCD of 536, 968, 44, 692?

GCD of 536, 968, 44, 692 is 4

2. Where do I get the detailed procedure to find GCD of 536, 968, 44, 692?

You can find a detailed procedure to find GCD of 536, 968, 44, 692 on our page.

3. How to find GCD of 536, 968, 44, 692 on a calculator?

You can find the GCD of 536, 968, 44, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.