GCD of 656, 148, 70, 546 Calculator

Given Input numbers are 656, 148, 70, 546

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 656, 148, 70, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 148, 70, 546 is 2.

Therefore, GCD of numbers 656, 148, 70, 546 is 2

Given Input Data is 656, 148, 70, 546

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(656, 148) = 24272

GCD(656, 148) = ( 656 x 148 ) / 24272

GCD(656, 148) = 97088 / 24272

GCD(656, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

GCD of 656, 148, 70, 546 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 369, 84, 133
• GCD of 808, 792, 63, 528
• GCD of 457, 671, 93, 677
• GCD of 154, 460, 33, 193
• GCD of 233, 542, 19, 109

1. What is the GCD of 656, 148, 70, 546?

GCD of 656, 148, 70, 546 is 2

2. Where do I get the detailed procedure to find GCD of 656, 148, 70, 546?

You can find a detailed procedure to find GCD of 656, 148, 70, 546 on our page.

3. How to find GCD of 656, 148, 70, 546 on a calculator?

You can find the GCD of 656, 148, 70, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.