GCD of 140, 120, 38, 772 Calculator

Given Input numbers are 140, 120, 38, 772

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 140, 120, 38, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 120, 38, 772 is 2.

Therefore, GCD of numbers 140, 120, 38, 772 is 2

Given Input Data is 140, 120, 38, 772

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 772 is 2 x 2 x 193

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(140, 120) = 840

GCD(140, 120) = ( 140 x 120 ) / 840

GCD(140, 120) = 16800 / 840

GCD(140, 120) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 38

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

LCM(20, 38) = 380

GCD(20, 38) = ( 20 x 38 ) / 380

GCD(20, 38) = 760 / 380

GCD(20, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 140, 120, 38, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 842, 59, 136
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• GCD of 624, 337, 21, 765
• GCD of 698, 602, 29, 268
• GCD of 341, 962, 54, 948

1. What is the GCD of 140, 120, 38, 772?

GCD of 140, 120, 38, 772 is 2

2. Where do I get the detailed procedure to find GCD of 140, 120, 38, 772?

You can find a detailed procedure to find GCD of 140, 120, 38, 772 on our page.

3. How to find GCD of 140, 120, 38, 772 on a calculator?

You can find the GCD of 140, 120, 38, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.