GCD of 705, 372, 777, 117 Calculator

Given Input numbers are 705, 372, 777, 117

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 705, 372, 777, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 372, 777, 117 is 3.

Therefore, GCD of numbers 705, 372, 777, 117 is 3

Given Input Data is 705, 372, 777, 117

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 117 is 3 x 3 x 13

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(705, 372) = 87420

GCD(705, 372) = ( 705 x 372 ) / 87420

GCD(705, 372) = 262260 / 87420

GCD(705, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 777

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

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

GCD(3, 777) = 2331 / 777

GCD(3, 777) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 117

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

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

GCD(3, 117) = 351 / 117

GCD(3, 117) = 3

GCD of 705, 372, 777, 117 is 3

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• GCD of 458, 146, 171, 828
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1. What is the GCD of 705, 372, 777, 117?

GCD of 705, 372, 777, 117 is 3

2. Where do I get the detailed procedure to find GCD of 705, 372, 777, 117?

You can find a detailed procedure to find GCD of 705, 372, 777, 117 on our page.

3. How to find GCD of 705, 372, 777, 117 on a calculator?

You can find the GCD of 705, 372, 777, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.