GCD of 77, 959, 210, 581 Calculator

Given Input numbers are 77, 959, 210, 581

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 77, 959, 210, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 959, 210, 581 is 7.

Therefore, GCD of numbers 77, 959, 210, 581 is 7

Given Input Data is 77, 959, 210, 581

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 959 is 7 x 137

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 581 is 7 x 83

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(77, 959) = 10549

GCD(77, 959) = ( 77 x 959 ) / 10549

GCD(77, 959) = 73843 / 10549

GCD(77, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 210

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

LCM(7, 210) = 210

GCD(7, 210) = ( 7 x 210 ) / 210

GCD(7, 210) = 1470 / 210

GCD(7, 210) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 581

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

LCM(7, 581) = 581

GCD(7, 581) = ( 7 x 581 ) / 581

GCD(7, 581) = 4067 / 581

GCD(7, 581) = 7

GCD of 77, 959, 210, 581 is 7

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• GCD of 89, 333, 537, 221
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1. What is the GCD of 77, 959, 210, 581?

GCD of 77, 959, 210, 581 is 7

2. Where do I get the detailed procedure to find GCD of 77, 959, 210, 581?

You can find a detailed procedure to find GCD of 77, 959, 210, 581 on our page.

3. How to find GCD of 77, 959, 210, 581 on a calculator?

You can find the GCD of 77, 959, 210, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.