GCD of 854, 578, 790, 737 Calculator

Given Input numbers are 854, 578, 790, 737

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 854, 578, 790, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 578, 790, 737 is 1.

Therefore, GCD of numbers 854, 578, 790, 737 is 1

Given Input Data is 854, 578, 790, 737

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 737 is 11 x 67

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(854, 578) = 246806

GCD(854, 578) = ( 854 x 578 ) / 246806

GCD(854, 578) = 493612 / 246806

GCD(854, 578) = 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 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 854, 578, 790, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 681, 939, 246
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• GCD of 430, 627, 654, 607

1. What is the GCD of 854, 578, 790, 737?

GCD of 854, 578, 790, 737 is 1

2. Where do I get the detailed procedure to find GCD of 854, 578, 790, 737?

You can find a detailed procedure to find GCD of 854, 578, 790, 737 on our page.

3. How to find GCD of 854, 578, 790, 737 on a calculator?

You can find the GCD of 854, 578, 790, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.