GCD of 546, 782, 701, 105 Calculator

Given Input numbers are 546, 782, 701, 105

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

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 546, 782, 701, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 782, 701, 105 is 1.

Therefore, GCD of numbers 546, 782, 701, 105 is 1

Given Input Data is 546, 782, 701, 105

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

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 701 is 701

Prime Factorization of 105 is 3 x 5 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(546, 782) = 213486

GCD(546, 782) = ( 546 x 782 ) / 213486

GCD(546, 782) = 426972 / 213486

GCD(546, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 546, 782, 701, 105 is 1

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• GCD of 355, 226, 674, 164
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1. What is the GCD of 546, 782, 701, 105?

GCD of 546, 782, 701, 105 is 1

2. Where do I get the detailed procedure to find GCD of 546, 782, 701, 105?

You can find a detailed procedure to find GCD of 546, 782, 701, 105 on our page.

3. How to find GCD of 546, 782, 701, 105 on a calculator?

You can find the GCD of 546, 782, 701, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.