GCD of 690, 932, 76, 120 Calculator

Given Input numbers are 690, 932, 76, 120

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 932

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

1, 2, 4, 233, 466, 932

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 690, 932, 76, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 932, 76, 120 is 2.

Therefore, GCD of numbers 690, 932, 76, 120 is 2

Given Input Data is 690, 932, 76, 120

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 76 is 2 x 2 x 19

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(690, 932) = 321540

GCD(690, 932) = ( 690 x 932 ) / 321540

GCD(690, 932) = 643080 / 321540

GCD(690, 932) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

GCD of 690, 932, 76, 120 is 2

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1. What is the GCD of 690, 932, 76, 120?

GCD of 690, 932, 76, 120 is 2

2. Where do I get the detailed procedure to find GCD of 690, 932, 76, 120?

You can find a detailed procedure to find GCD of 690, 932, 76, 120 on our page.

3. How to find GCD of 690, 932, 76, 120 on a calculator?

You can find the GCD of 690, 932, 76, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.