GCD of 302, 357, 945, 763 Calculator

Given Input numbers are 302, 357, 945, 763

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 302, 357, 945, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 357, 945, 763 is 1.

Therefore, GCD of numbers 302, 357, 945, 763 is 1

Given Input Data is 302, 357, 945, 763

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 357 is 3 x 7 x 17

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

Prime Factorization of 763 is 7 x 109

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(302, 357) = 107814

GCD(302, 357) = ( 302 x 357 ) / 107814

GCD(302, 357) = 107814 / 107814

GCD(302, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 302, 357, 945, 763 is 1

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1. What is the GCD of 302, 357, 945, 763?

GCD of 302, 357, 945, 763 is 1

2. Where do I get the detailed procedure to find GCD of 302, 357, 945, 763?

You can find a detailed procedure to find GCD of 302, 357, 945, 763 on our page.

3. How to find GCD of 302, 357, 945, 763 on a calculator?

You can find the GCD of 302, 357, 945, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.