GCD of 34, 914, 790, 671 Calculator

Given Input numbers are 34, 914, 790, 671

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 34, 914, 790, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 914, 790, 671 is 1.

Therefore, GCD of numbers 34, 914, 790, 671 is 1

Given Input Data is 34, 914, 790, 671

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 914 is 2 x 457

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 671 is 11 x 61

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(34, 914) = 15538

GCD(34, 914) = ( 34 x 914 ) / 15538

GCD(34, 914) = 31076 / 15538

GCD(34, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

GCD of 34, 914, 790, 671 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 969, 329, 852
• GCD of 40, 376, 213, 428
• GCD of 71, 932, 654, 402
• GCD of 29, 379, 138, 578
• GCD of 14, 980, 859, 617

1. What is the GCD of 34, 914, 790, 671?

GCD of 34, 914, 790, 671 is 1

2. Where do I get the detailed procedure to find GCD of 34, 914, 790, 671?

You can find a detailed procedure to find GCD of 34, 914, 790, 671 on our page.

3. How to find GCD of 34, 914, 790, 671 on a calculator?

You can find the GCD of 34, 914, 790, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.