GCD of 120, 356, 66, 925 Calculator

Given Input numbers are 120, 356, 66, 925

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

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 120, 356, 66, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 356, 66, 925 is 1.

Therefore, GCD of numbers 120, 356, 66, 925 is 1

Given Input Data is 120, 356, 66, 925

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

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 925 is 5 x 5 x 37

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(120, 356) = 10680

GCD(120, 356) = ( 120 x 356 ) / 10680

GCD(120, 356) = 42720 / 10680

GCD(120, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 66

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

LCM(4, 66) = 132

GCD(4, 66) = ( 4 x 66 ) / 132

GCD(4, 66) = 264 / 132

GCD(4, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 925

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

LCM(2, 925) = 1850

GCD(2, 925) = ( 2 x 925 ) / 1850

GCD(2, 925) = 1850 / 1850

GCD(2, 925) = 1

GCD of 120, 356, 66, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 346, 30, 727
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• GCD of 673, 394, 23, 157
• GCD of 807, 681, 67, 903
• GCD of 262, 169, 22, 371

1. What is the GCD of 120, 356, 66, 925?

GCD of 120, 356, 66, 925 is 1

2. Where do I get the detailed procedure to find GCD of 120, 356, 66, 925?

You can find a detailed procedure to find GCD of 120, 356, 66, 925 on our page.

3. How to find GCD of 120, 356, 66, 925 on a calculator?

You can find the GCD of 120, 356, 66, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.