GCD of 735, 134, 214 Calculator

Given Input numbers are 735, 134, 214

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 735, 134, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 134, 214 is 1.

Therefore, GCD of numbers 735, 134, 214 is 1

Given Input Data is 735, 134, 214

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 134 is 2 x 67

Prime Factorization of 214 is 2 x 107

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(735, 134) = 98490

GCD(735, 134) = ( 735 x 134 ) / 98490

GCD(735, 134) = 98490 / 98490

GCD(735, 134) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 735, 134, 214 is 1

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1. What is the GCD of 735, 134, 214?

GCD of 735, 134, 214 is 1

2. Where do I get the detailed procedure to find GCD of 735, 134, 214?

You can find a detailed procedure to find GCD of 735, 134, 214 on our page.

3. How to find GCD of 735, 134, 214 on a calculator?

You can find the GCD of 735, 134, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.