GCD of 70, 976, 844, 898 Calculator

Given Input numbers are 70, 976, 844, 898

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 70, 976, 844, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 976, 844, 898 is 2.

Therefore, GCD of numbers 70, 976, 844, 898 is 2

Given Input Data is 70, 976, 844, 898

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

Prime Factorization of 70 is 2 x 5 x 7

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 898 is 2 x 449

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(70, 976) = 34160

GCD(70, 976) = ( 70 x 976 ) / 34160

GCD(70, 976) = 68320 / 34160

GCD(70, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

GCD of 70, 976, 844, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 839, 241, 603
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• GCD of 69, 799, 198, 335
• GCD of 95, 310, 364, 981

1. What is the GCD of 70, 976, 844, 898?

GCD of 70, 976, 844, 898 is 2

2. Where do I get the detailed procedure to find GCD of 70, 976, 844, 898?

You can find a detailed procedure to find GCD of 70, 976, 844, 898 on our page.

3. How to find GCD of 70, 976, 844, 898 on a calculator?

You can find the GCD of 70, 976, 844, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.