GCD of 70, 28, 66, 74 Calculator

Given Input numbers are 70, 28, 66, 74

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

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 70, 28, 66, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 28, 66, 74 is 2.

Therefore, GCD of numbers 70, 28, 66, 74 is 2

Given Input Data is 70, 28, 66, 74

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 74 is 2 x 37

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(70, 28) = 140

GCD(70, 28) = ( 70 x 28 ) / 140

GCD(70, 28) = 1960 / 140

GCD(70, 28) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 66

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

LCM(14, 66) = 462

GCD(14, 66) = ( 14 x 66 ) / 462

GCD(14, 66) = 924 / 462

GCD(14, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

GCD of 70, 28, 66, 74 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 45, 63, 88
• GCD of 28, 81, 79, 38
• GCD of 41, 93, 73, 53
• GCD of 30, 65, 77, 96
• GCD of 80, 68, 53, 53

1. What is the GCD of 70, 28, 66, 74?

GCD of 70, 28, 66, 74 is 2

2. Where do I get the detailed procedure to find GCD of 70, 28, 66, 74?

You can find a detailed procedure to find GCD of 70, 28, 66, 74 on our page.

3. How to find GCD of 70, 28, 66, 74 on a calculator?

You can find the GCD of 70, 28, 66, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.