GCD of 742, 649, 376, 276 Calculator

Given Input numbers are 742, 649, 376, 276

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 742, 649, 376, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 649, 376, 276 is 1.

Therefore, GCD of numbers 742, 649, 376, 276 is 1

Given Input Data is 742, 649, 376, 276

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 649 is 11 x 59

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(742, 649) = 481558

GCD(742, 649) = ( 742 x 649 ) / 481558

GCD(742, 649) = 481558 / 481558

GCD(742, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 276

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

LCM(1, 276) = 276

GCD(1, 276) = ( 1 x 276 ) / 276

GCD(1, 276) = 276 / 276

GCD(1, 276) = 1

GCD of 742, 649, 376, 276 is 1

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1. What is the GCD of 742, 649, 376, 276?

GCD of 742, 649, 376, 276 is 1

2. Where do I get the detailed procedure to find GCD of 742, 649, 376, 276?

You can find a detailed procedure to find GCD of 742, 649, 376, 276 on our page.

3. How to find GCD of 742, 649, 376, 276 on a calculator?

You can find the GCD of 742, 649, 376, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.