GCD of 89, 846, 948, 278 Calculator

Given Input numbers are 89, 846, 948, 278

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 89, 846, 948, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 846, 948, 278 is 1.

Therefore, GCD of numbers 89, 846, 948, 278 is 1

Given Input Data is 89, 846, 948, 278

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

Prime Factorization of 89 is 89

Prime Factorization of 846 is 2 x 3 x 3 x 47

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

Prime Factorization of 278 is 2 x 139

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(89, 846) = 75294

GCD(89, 846) = ( 89 x 846 ) / 75294

GCD(89, 846) = 75294 / 75294

GCD(89, 846) = 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 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 89, 846, 948, 278 is 1

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• GCD of 88, 441, 128, 692
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1. What is the GCD of 89, 846, 948, 278?

GCD of 89, 846, 948, 278 is 1

2. Where do I get the detailed procedure to find GCD of 89, 846, 948, 278?

You can find a detailed procedure to find GCD of 89, 846, 948, 278 on our page.

3. How to find GCD of 89, 846, 948, 278 on a calculator?

You can find the GCD of 89, 846, 948, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.