GCD of 120, 932, 77, 164 Calculator

Given Input numbers are 120, 932, 77, 164

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 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 120, 932, 77, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 932, 77, 164 is 1.

Therefore, GCD of numbers 120, 932, 77, 164 is 1

Given Input Data is 120, 932, 77, 164

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 932 is 2 x 2 x 233

Prime Factorization of 77 is 7 x 11

Prime Factorization of 164 is 2 x 2 x 41

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, 932) = 27960

GCD(120, 932) = ( 120 x 932 ) / 27960

GCD(120, 932) = 111840 / 27960

GCD(120, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 120, 932, 77, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 543, 89, 567
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• GCD of 558, 844, 55, 591
• GCD of 384, 525, 87, 182
• GCD of 994, 405, 81, 792

1. What is the GCD of 120, 932, 77, 164?

GCD of 120, 932, 77, 164 is 1

2. Where do I get the detailed procedure to find GCD of 120, 932, 77, 164?

You can find a detailed procedure to find GCD of 120, 932, 77, 164 on our page.

3. How to find GCD of 120, 932, 77, 164 on a calculator?

You can find the GCD of 120, 932, 77, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.