GCD of 146, 117, 61, 708 Calculator

Given Input numbers are 146, 117, 61, 708

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 146, 117, 61, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 117, 61, 708 is 1.

Therefore, GCD of numbers 146, 117, 61, 708 is 1

Given Input Data is 146, 117, 61, 708

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 61 is 61

Prime Factorization of 708 is 2 x 2 x 3 x 59

The above numbers do not have any common prime factor. So GCD is 1

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(146, 117) = 17082

GCD(146, 117) = ( 146 x 117 ) / 17082

GCD(146, 117) = 17082 / 17082

GCD(146, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 146, 117, 61, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 191, 37, 391
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• GCD of 670, 380, 61, 486
• GCD of 651, 954, 53, 195

1. What is the GCD of 146, 117, 61, 708?

GCD of 146, 117, 61, 708 is 1

2. Where do I get the detailed procedure to find GCD of 146, 117, 61, 708?

You can find a detailed procedure to find GCD of 146, 117, 61, 708 on our page.

3. How to find GCD of 146, 117, 61, 708 on a calculator?

You can find the GCD of 146, 117, 61, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.