GCD of 376, 734, 58, 840 Calculator

Given Input numbers are 376, 734, 58, 840

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

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 376, 734, 58, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 734, 58, 840 is 2.

Therefore, GCD of numbers 376, 734, 58, 840 is 2

Given Input Data is 376, 734, 58, 840

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

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 58 is 2 x 29

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(376, 734) = 137992

GCD(376, 734) = ( 376 x 734 ) / 137992

GCD(376, 734) = 275984 / 137992

GCD(376, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

GCD of 376, 734, 58, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 432, 81, 543
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• GCD of 175, 253, 10, 819

1. What is the GCD of 376, 734, 58, 840?

GCD of 376, 734, 58, 840 is 2

2. Where do I get the detailed procedure to find GCD of 376, 734, 58, 840?

You can find a detailed procedure to find GCD of 376, 734, 58, 840 on our page.

3. How to find GCD of 376, 734, 58, 840 on a calculator?

You can find the GCD of 376, 734, 58, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.