GCD of 948, 378, 66, 769 Calculator

Given Input numbers are 948, 378, 66, 769

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 948, 378, 66, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 378, 66, 769 is 1.

Therefore, GCD of numbers 948, 378, 66, 769 is 1

Given Input Data is 948, 378, 66, 769

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 769 is 769

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(948, 378) = 59724

GCD(948, 378) = ( 948 x 378 ) / 59724

GCD(948, 378) = 358344 / 59724

GCD(948, 378) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 66

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

LCM(6, 66) = 66

GCD(6, 66) = ( 6 x 66 ) / 66

GCD(6, 66) = 396 / 66

GCD(6, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 769

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

LCM(6, 769) = 4614

GCD(6, 769) = ( 6 x 769 ) / 4614

GCD(6, 769) = 4614 / 4614

GCD(6, 769) = 1

GCD of 948, 378, 66, 769 is 1

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1. What is the GCD of 948, 378, 66, 769?

GCD of 948, 378, 66, 769 is 1

2. Where do I get the detailed procedure to find GCD of 948, 378, 66, 769?

You can find a detailed procedure to find GCD of 948, 378, 66, 769 on our page.

3. How to find GCD of 948, 378, 66, 769 on a calculator?

You can find the GCD of 948, 378, 66, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.