GCD of 762, 708, 71, 147 Calculator

Given Input numbers are 762, 708, 71, 147

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 762, 708, 71, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 708, 71, 147 is 1.

Therefore, GCD of numbers 762, 708, 71, 147 is 1

Given Input Data is 762, 708, 71, 147

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

Prime Factorization of 762 is 2 x 3 x 127

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

Prime Factorization of 71 is 71

Prime Factorization of 147 is 3 x 7 x 7

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(762, 708) = 89916

GCD(762, 708) = ( 762 x 708 ) / 89916

GCD(762, 708) = 539496 / 89916

GCD(762, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 71

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

LCM(6, 71) = 426

GCD(6, 71) = ( 6 x 71 ) / 426

GCD(6, 71) = 426 / 426

GCD(6, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 762, 708, 71, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 256, 26, 431
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• GCD of 225, 306, 22, 415

1. What is the GCD of 762, 708, 71, 147?

GCD of 762, 708, 71, 147 is 1

2. Where do I get the detailed procedure to find GCD of 762, 708, 71, 147?

You can find a detailed procedure to find GCD of 762, 708, 71, 147 on our page.

3. How to find GCD of 762, 708, 71, 147 on a calculator?

You can find the GCD of 762, 708, 71, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.