GCD of 880, 402, 899, 967 Calculator

Given Input numbers are 880, 402, 899, 967

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 880, 402, 899, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 402, 899, 967 is 1.

Therefore, GCD of numbers 880, 402, 899, 967 is 1

Given Input Data is 880, 402, 899, 967

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 899 is 29 x 31

Prime Factorization of 967 is 967

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(880, 402) = 176880

GCD(880, 402) = ( 880 x 402 ) / 176880

GCD(880, 402) = 353760 / 176880

GCD(880, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 880, 402, 899, 967 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 880, 402, 899, 967?

GCD of 880, 402, 899, 967 is 1

2. Where do I get the detailed procedure to find GCD of 880, 402, 899, 967?

You can find a detailed procedure to find GCD of 880, 402, 899, 967 on our page.

3. How to find GCD of 880, 402, 899, 967 on a calculator?

You can find the GCD of 880, 402, 899, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.