GCD of 85, 714, 678, 136 Calculator

Given Input numbers are 85, 714, 678, 136

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 85, 714, 678, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 714, 678, 136 is 1.

Therefore, GCD of numbers 85, 714, 678, 136 is 1

Given Input Data is 85, 714, 678, 136

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(85, 714) = 3570

GCD(85, 714) = ( 85 x 714 ) / 3570

GCD(85, 714) = 60690 / 3570

GCD(85, 714) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 678

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

LCM(17, 678) = 11526

GCD(17, 678) = ( 17 x 678 ) / 11526

GCD(17, 678) = 11526 / 11526

GCD(17, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 85, 714, 678, 136 is 1

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• GCD of 32, 302, 769, 530
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1. What is the GCD of 85, 714, 678, 136?

GCD of 85, 714, 678, 136 is 1

2. Where do I get the detailed procedure to find GCD of 85, 714, 678, 136?

You can find a detailed procedure to find GCD of 85, 714, 678, 136 on our page.

3. How to find GCD of 85, 714, 678, 136 on a calculator?

You can find the GCD of 85, 714, 678, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.