GCD of 70, 134, 174, 668 Calculator

Given Input numbers are 70, 134, 174, 668

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 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 70, 134, 174, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 134, 174, 668 is 2.

Therefore, GCD of numbers 70, 134, 174, 668 is 2

Given Input Data is 70, 134, 174, 668

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 134 is 2 x 67

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 668 is 2 x 2 x 167

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, 134) = 4690

GCD(70, 134) = ( 70 x 134 ) / 4690

GCD(70, 134) = 9380 / 4690

GCD(70, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 70, 134, 174, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 650, 476, 432
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• GCD of 80, 722, 166, 929
• GCD of 56, 352, 742, 647
• GCD of 90, 369, 287, 228

1. What is the GCD of 70, 134, 174, 668?

GCD of 70, 134, 174, 668 is 2

2. Where do I get the detailed procedure to find GCD of 70, 134, 174, 668?

You can find a detailed procedure to find GCD of 70, 134, 174, 668 on our page.

3. How to find GCD of 70, 134, 174, 668 on a calculator?

You can find the GCD of 70, 134, 174, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.