GCD of 762, 524, 945, 178 Calculator

Given Input numbers are 762, 524, 945, 178

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 178

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

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 762, 524, 945, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 524, 945, 178 is 1.

Therefore, GCD of numbers 762, 524, 945, 178 is 1

Given Input Data is 762, 524, 945, 178

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 178 is 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

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(762, 524) = 199644

GCD(762, 524) = ( 762 x 524 ) / 199644

GCD(762, 524) = 399288 / 199644

GCD(762, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 945

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

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

GCD(2, 945) = 1890 / 1890

GCD(2, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 762, 524, 945, 178 is 1

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1. What is the GCD of 762, 524, 945, 178?

GCD of 762, 524, 945, 178 is 1

2. Where do I get the detailed procedure to find GCD of 762, 524, 945, 178?

You can find a detailed procedure to find GCD of 762, 524, 945, 178 on our page.

3. How to find GCD of 762, 524, 945, 178 on a calculator?

You can find the GCD of 762, 524, 945, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.