GCD of 153, 987, 55, 948 Calculator

Given Input numbers are 153, 987, 55, 948

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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

Greatest Common Divisior

We found the divisors of 153, 987, 55, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 987, 55, 948 is 1.

Therefore, GCD of numbers 153, 987, 55, 948 is 1

Given Input Data is 153, 987, 55, 948

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 55 is 5 x 11

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

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(153, 987) = 50337

GCD(153, 987) = ( 153 x 987 ) / 50337

GCD(153, 987) = 151011 / 50337

GCD(153, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1

Step3:

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

GCD of 153, 987, 55, 948 is 1

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1. What is the GCD of 153, 987, 55, 948?

GCD of 153, 987, 55, 948 is 1

2. Where do I get the detailed procedure to find GCD of 153, 987, 55, 948?

You can find a detailed procedure to find GCD of 153, 987, 55, 948 on our page.

3. How to find GCD of 153, 987, 55, 948 on a calculator?

You can find the GCD of 153, 987, 55, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.