GCD of 71, 688, 263, 548 Calculator

Given Input numbers are 71, 688, 263, 548

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

Divisors of 71

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

1, 71

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 71, 688, 263, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 688, 263, 548 is 1.

Therefore, GCD of numbers 71, 688, 263, 548 is 1

Given Input Data is 71, 688, 263, 548

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

Prime Factorization of 71 is 71

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 263 is 263

Prime Factorization of 548 is 2 x 2 x 137

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(71, 688) = 48848

GCD(71, 688) = ( 71 x 688 ) / 48848

GCD(71, 688) = 48848 / 48848

GCD(71, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 71, 688, 263, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 607, 935, 116
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• GCD of 57, 197, 115, 349
• GCD of 12, 950, 336, 924
• GCD of 74, 899, 781, 769

1. What is the GCD of 71, 688, 263, 548?

GCD of 71, 688, 263, 548 is 1

2. Where do I get the detailed procedure to find GCD of 71, 688, 263, 548?

You can find a detailed procedure to find GCD of 71, 688, 263, 548 on our page.

3. How to find GCD of 71, 688, 263, 548 on a calculator?

You can find the GCD of 71, 688, 263, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.