GCD of 642, 178, 534, 760 Calculator

Given Input numbers are 642, 178, 534, 760

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 642, 178, 534, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 178, 534, 760 is 2.

Therefore, GCD of numbers 642, 178, 534, 760 is 2

Given Input Data is 642, 178, 534, 760

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 178 is 2 x 89

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(642, 178) = 57138

GCD(642, 178) = ( 642 x 178 ) / 57138

GCD(642, 178) = 114276 / 57138

GCD(642, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 534

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

LCM(2, 534) = 534

GCD(2, 534) = ( 2 x 534 ) / 534

GCD(2, 534) = 1068 / 534

GCD(2, 534) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

GCD of 642, 178, 534, 760 is 2

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1. What is the GCD of 642, 178, 534, 760?

GCD of 642, 178, 534, 760 is 2

2. Where do I get the detailed procedure to find GCD of 642, 178, 534, 760?

You can find a detailed procedure to find GCD of 642, 178, 534, 760 on our page.

3. How to find GCD of 642, 178, 534, 760 on a calculator?

You can find the GCD of 642, 178, 534, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.