GCD of 147, 807, 87, 954 Calculator

Given Input numbers are 147, 807, 87, 954

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 147, 807, 87, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 807, 87, 954 is 3.

Therefore, GCD of numbers 147, 807, 87, 954 is 3

Given Input Data is 147, 807, 87, 954

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 807 is 3 x 269

Prime Factorization of 87 is 3 x 29

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(147, 807) = 39543

GCD(147, 807) = ( 147 x 807 ) / 39543

GCD(147, 807) = 118629 / 39543

GCD(147, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

GCD of 147, 807, 87, 954 is 3

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1. What is the GCD of 147, 807, 87, 954?

GCD of 147, 807, 87, 954 is 3

2. Where do I get the detailed procedure to find GCD of 147, 807, 87, 954?

You can find a detailed procedure to find GCD of 147, 807, 87, 954 on our page.

3. How to find GCD of 147, 807, 87, 954 on a calculator?

You can find the GCD of 147, 807, 87, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.