GCD of 107, 702, 546, 685 Calculator

Given Input numbers are 107, 702, 546, 685

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 107, 702, 546, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 702, 546, 685 is 1.

Therefore, GCD of numbers 107, 702, 546, 685 is 1

Given Input Data is 107, 702, 546, 685

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

Prime Factorization of 107 is 107

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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

Prime Factorization of 685 is 5 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(107, 702) = 75114

GCD(107, 702) = ( 107 x 702 ) / 75114

GCD(107, 702) = 75114 / 75114

GCD(107, 702) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 107, 702, 546, 685 is 1

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• GCD of 899, 518, 988, 155
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1. What is the GCD of 107, 702, 546, 685?

GCD of 107, 702, 546, 685 is 1

2. Where do I get the detailed procedure to find GCD of 107, 702, 546, 685?

You can find a detailed procedure to find GCD of 107, 702, 546, 685 on our page.

3. How to find GCD of 107, 702, 546, 685 on a calculator?

You can find the GCD of 107, 702, 546, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.