GCD of 976, 944, 10, 857 Calculator

Given Input numbers are 976, 944, 10, 857

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 976, 944, 10, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 944, 10, 857 is 1.

Therefore, GCD of numbers 976, 944, 10, 857 is 1

Given Input Data is 976, 944, 10, 857

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 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 10 is 2 x 5

Prime Factorization of 857 is 857

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(976, 944) = 57584

GCD(976, 944) = ( 976 x 944 ) / 57584

GCD(976, 944) = 921344 / 57584

GCD(976, 944) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 10

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

LCM(16, 10) = 80

GCD(16, 10) = ( 16 x 10 ) / 80

GCD(16, 10) = 160 / 80

GCD(16, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 857

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

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

GCD(2, 857) = 1714 / 1714

GCD(2, 857) = 1

GCD of 976, 944, 10, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 225, 81, 625
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• GCD of 374, 853, 68, 972
• GCD of 463, 256, 20, 145
• GCD of 205, 488, 52, 915

1. What is the GCD of 976, 944, 10, 857?

GCD of 976, 944, 10, 857 is 1

2. Where do I get the detailed procedure to find GCD of 976, 944, 10, 857?

You can find a detailed procedure to find GCD of 976, 944, 10, 857 on our page.

3. How to find GCD of 976, 944, 10, 857 on a calculator?

You can find the GCD of 976, 944, 10, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.