GCD of 70, 742, 914, 162 Calculator

Given Input numbers are 70, 742, 914, 162

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 70, 742, 914, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 742, 914, 162 is 2.

Therefore, GCD of numbers 70, 742, 914, 162 is 2

Given Input Data is 70, 742, 914, 162

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 742 is 2 x 7 x 53

Prime Factorization of 914 is 2 x 457

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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, 742) = 3710

GCD(70, 742) = ( 70 x 742 ) / 3710

GCD(70, 742) = 51940 / 3710

GCD(70, 742) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 914

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

LCM(14, 914) = 6398

GCD(14, 914) = ( 14 x 914 ) / 6398

GCD(14, 914) = 12796 / 6398

GCD(14, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

GCD of 70, 742, 914, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 286, 133, 607
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• GCD of 16, 739, 167, 868
• GCD of 72, 294, 676, 690
• GCD of 41, 987, 555, 245

1. What is the GCD of 70, 742, 914, 162?

GCD of 70, 742, 914, 162 is 2

2. Where do I get the detailed procedure to find GCD of 70, 742, 914, 162?

You can find a detailed procedure to find GCD of 70, 742, 914, 162 on our page.

3. How to find GCD of 70, 742, 914, 162 on a calculator?

You can find the GCD of 70, 742, 914, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.