GCD of 707, 406, 119 Calculator

Given Input numbers are 707, 406, 119

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

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 707, 406, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 406, 119 is 7.

Therefore, GCD of numbers 707, 406, 119 is 7

Given Input Data is 707, 406, 119

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 119 is 7 x 17

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(707, 406) = 41006

GCD(707, 406) = ( 707 x 406 ) / 41006

GCD(707, 406) = 287042 / 41006

GCD(707, 406) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 119

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

LCM(7, 119) = 119

GCD(7, 119) = ( 7 x 119 ) / 119

GCD(7, 119) = 833 / 119

GCD(7, 119) = 7

GCD of 707, 406, 119 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 383, 109
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• GCD of 640, 865, 892
• GCD of 328, 250, 686

1. What is the GCD of 707, 406, 119?

GCD of 707, 406, 119 is 7

2. Where do I get the detailed procedure to find GCD of 707, 406, 119?

You can find a detailed procedure to find GCD of 707, 406, 119 on our page.

3. How to find GCD of 707, 406, 119 on a calculator?

You can find the GCD of 707, 406, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.