GCD of 35, 868, 610, 368 Calculator

Given Input numbers are 35, 868, 610, 368

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 35, 868, 610, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 868, 610, 368 is 1.

Therefore, GCD of numbers 35, 868, 610, 368 is 1

Given Input Data is 35, 868, 610, 368

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(35, 868) = 4340

GCD(35, 868) = ( 35 x 868 ) / 4340

GCD(35, 868) = 30380 / 4340

GCD(35, 868) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 610

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

LCM(7, 610) = 4270

GCD(7, 610) = ( 7 x 610 ) / 4270

GCD(7, 610) = 4270 / 4270

GCD(7, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 35, 868, 610, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 902, 562, 307
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• GCD of 57, 819, 759, 331
• GCD of 25, 435, 876, 270
• GCD of 83, 366, 247, 818

1. What is the GCD of 35, 868, 610, 368?

GCD of 35, 868, 610, 368 is 1

2. Where do I get the detailed procedure to find GCD of 35, 868, 610, 368?

You can find a detailed procedure to find GCD of 35, 868, 610, 368 on our page.

3. How to find GCD of 35, 868, 610, 368 on a calculator?

You can find the GCD of 35, 868, 610, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.