GCD of 346, 634, 948, 741 Calculator

Given Input numbers are 346, 634, 948, 741

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 346, 634, 948, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 634, 948, 741 is 1.

Therefore, GCD of numbers 346, 634, 948, 741 is 1

Given Input Data is 346, 634, 948, 741

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 634 is 2 x 317

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 741 is 3 x 13 x 19

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(346, 634) = 109682

GCD(346, 634) = ( 346 x 634 ) / 109682

GCD(346, 634) = 219364 / 109682

GCD(346, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

GCD of 346, 634, 948, 741 is 1

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1. What is the GCD of 346, 634, 948, 741?

GCD of 346, 634, 948, 741 is 1

2. Where do I get the detailed procedure to find GCD of 346, 634, 948, 741?

You can find a detailed procedure to find GCD of 346, 634, 948, 741 on our page.

3. How to find GCD of 346, 634, 948, 741 on a calculator?

You can find the GCD of 346, 634, 948, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.