GCD of 49, 392, 343, 762 Calculator

Given Input numbers are 49, 392, 343, 762

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 49, 392, 343, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 392, 343, 762 is 1.

Therefore, GCD of numbers 49, 392, 343, 762 is 1

Given Input Data is 49, 392, 343, 762

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 762 is 2 x 3 x 127

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(49, 392) = 392

GCD(49, 392) = ( 49 x 392 ) / 392

GCD(49, 392) = 19208 / 392

GCD(49, 392) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 343

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

LCM(49, 343) = 343

GCD(49, 343) = ( 49 x 343 ) / 343

GCD(49, 343) = 16807 / 343

GCD(49, 343) = 49

Step3:

Here we consider the GCD from the above i.e. 49 as first number and the next as 762

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

LCM(49, 762) = 37338

GCD(49, 762) = ( 49 x 762 ) / 37338

GCD(49, 762) = 37338 / 37338

GCD(49, 762) = 1

GCD of 49, 392, 343, 762 is 1

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1. What is the GCD of 49, 392, 343, 762?

GCD of 49, 392, 343, 762 is 1

2. Where do I get the detailed procedure to find GCD of 49, 392, 343, 762?

You can find a detailed procedure to find GCD of 49, 392, 343, 762 on our page.

3. How to find GCD of 49, 392, 343, 762 on a calculator?

You can find the GCD of 49, 392, 343, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.