GCD of 840, 177, 38, 119 Calculator

Given Input numbers are 840, 177, 38, 119

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 840, 177, 38, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 177, 38, 119 is 1.

Therefore, GCD of numbers 840, 177, 38, 119 is 1

Given Input Data is 840, 177, 38, 119

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 177 is 3 x 59

Prime Factorization of 38 is 2 x 19

Prime Factorization of 119 is 7 x 17

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(840, 177) = 49560

GCD(840, 177) = ( 840 x 177 ) / 49560

GCD(840, 177) = 148680 / 49560

GCD(840, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 38

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

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

GCD(3, 38) = 114 / 114

GCD(3, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 840, 177, 38, 119 is 1

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• GCD of 720, 530, 32, 293
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• GCD of 859, 769, 23, 907

1. What is the GCD of 840, 177, 38, 119?

GCD of 840, 177, 38, 119 is 1

2. Where do I get the detailed procedure to find GCD of 840, 177, 38, 119?

You can find a detailed procedure to find GCD of 840, 177, 38, 119 on our page.

3. How to find GCD of 840, 177, 38, 119 on a calculator?

You can find the GCD of 840, 177, 38, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.