GCD of 707, 268, 407, 120 Calculator

Given Input numbers are 707, 268, 407, 120

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 707, 268, 407, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 268, 407, 120 is 1.

Therefore, GCD of numbers 707, 268, 407, 120 is 1

Given Input Data is 707, 268, 407, 120

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 407 is 11 x 37

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(707, 268) = 189476

GCD(707, 268) = ( 707 x 268 ) / 189476

GCD(707, 268) = 189476 / 189476

GCD(707, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 707, 268, 407, 120 is 1

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• GCD of 143, 412, 355, 661
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1. What is the GCD of 707, 268, 407, 120?

GCD of 707, 268, 407, 120 is 1

2. Where do I get the detailed procedure to find GCD of 707, 268, 407, 120?

You can find a detailed procedure to find GCD of 707, 268, 407, 120 on our page.

3. How to find GCD of 707, 268, 407, 120 on a calculator?

You can find the GCD of 707, 268, 407, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.