GCD of 343, 992, 77, 615 Calculator

Given Input numbers are 343, 992, 77, 615

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 343, 992, 77, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 992, 77, 615 is 1.

Therefore, GCD of numbers 343, 992, 77, 615 is 1

Given Input Data is 343, 992, 77, 615

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 77 is 7 x 11

Prime Factorization of 615 is 3 x 5 x 41

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(343, 992) = 340256

GCD(343, 992) = ( 343 x 992 ) / 340256

GCD(343, 992) = 340256 / 340256

GCD(343, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 343, 992, 77, 615 is 1

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• GCD of 432, 829, 32, 357
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• GCD of 982, 302, 36, 949

1. What is the GCD of 343, 992, 77, 615?

GCD of 343, 992, 77, 615 is 1

2. Where do I get the detailed procedure to find GCD of 343, 992, 77, 615?

You can find a detailed procedure to find GCD of 343, 992, 77, 615 on our page.

3. How to find GCD of 343, 992, 77, 615 on a calculator?

You can find the GCD of 343, 992, 77, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.