GCD of 38, 62, 70, 56 Calculator

Given Input numbers are 38, 62, 70, 56

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 38, 62, 70, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 62, 70, 56 is 2.

Therefore, GCD of numbers 38, 62, 70, 56 is 2

Given Input Data is 38, 62, 70, 56

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 62 is 2 x 31

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(38, 62) = 1178

GCD(38, 62) = ( 38 x 62 ) / 1178

GCD(38, 62) = 2356 / 1178

GCD(38, 62) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

GCD of 38, 62, 70, 56 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 42, 43, 91
• GCD of 18, 18, 25, 64
• GCD of 73, 29, 36, 34
• GCD of 86, 21, 56, 70
• GCD of 73, 64, 88, 69

1. What is the GCD of 38, 62, 70, 56?

GCD of 38, 62, 70, 56 is 2

2. Where do I get the detailed procedure to find GCD of 38, 62, 70, 56?

You can find a detailed procedure to find GCD of 38, 62, 70, 56 on our page.

3. How to find GCD of 38, 62, 70, 56 on a calculator?

You can find the GCD of 38, 62, 70, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.