GCD of 976, 840, 334, 504 Calculator

Given Input numbers are 976, 840, 334, 504

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 976, 840, 334, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 840, 334, 504 is 2.

Therefore, GCD of numbers 976, 840, 334, 504 is 2

Given Input Data is 976, 840, 334, 504

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 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(976, 840) = 102480

GCD(976, 840) = ( 976 x 840 ) / 102480

GCD(976, 840) = 819840 / 102480

GCD(976, 840) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 334

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

LCM(8, 334) = 1336

GCD(8, 334) = ( 8 x 334 ) / 1336

GCD(8, 334) = 2672 / 1336

GCD(8, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 976, 840, 334, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 169, 414, 582
• GCD of 455, 975, 509, 960
• GCD of 461, 659, 517, 988
• GCD of 185, 811, 839, 779
• GCD of 727, 669, 820, 794

1. What is the GCD of 976, 840, 334, 504?

GCD of 976, 840, 334, 504 is 2

2. Where do I get the detailed procedure to find GCD of 976, 840, 334, 504?

You can find a detailed procedure to find GCD of 976, 840, 334, 504 on our page.

3. How to find GCD of 976, 840, 334, 504 on a calculator?

You can find the GCD of 976, 840, 334, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.