GCD of 144, 385, 948, 858 Calculator

Given Input numbers are 144, 385, 948, 858

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 144, 385, 948, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 385, 948, 858 is 1.

Therefore, GCD of numbers 144, 385, 948, 858 is 1

Given Input Data is 144, 385, 948, 858

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 385 is 5 x 7 x 11

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

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(144, 385) = 55440

GCD(144, 385) = ( 144 x 385 ) / 55440

GCD(144, 385) = 55440 / 55440

GCD(144, 385) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 144, 385, 948, 858 is 1

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1. What is the GCD of 144, 385, 948, 858?

GCD of 144, 385, 948, 858 is 1

2. Where do I get the detailed procedure to find GCD of 144, 385, 948, 858?

You can find a detailed procedure to find GCD of 144, 385, 948, 858 on our page.

3. How to find GCD of 144, 385, 948, 858 on a calculator?

You can find the GCD of 144, 385, 948, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.