GCD of 61, 416, 140, 867 Calculator

Given Input numbers are 61, 416, 140, 867

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 61, 416, 140, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 416, 140, 867 is 1.

Therefore, GCD of numbers 61, 416, 140, 867 is 1

Given Input Data is 61, 416, 140, 867

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

Prime Factorization of 61 is 61

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 867 is 3 x 17 x 17

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(61, 416) = 25376

GCD(61, 416) = ( 61 x 416 ) / 25376

GCD(61, 416) = 25376 / 25376

GCD(61, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 61, 416, 140, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 522, 206, 198
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• GCD of 32, 507, 730, 469
• GCD of 25, 398, 578, 522
• GCD of 47, 814, 897, 915

1. What is the GCD of 61, 416, 140, 867?

GCD of 61, 416, 140, 867 is 1

2. Where do I get the detailed procedure to find GCD of 61, 416, 140, 867?

You can find a detailed procedure to find GCD of 61, 416, 140, 867 on our page.

3. How to find GCD of 61, 416, 140, 867 on a calculator?

You can find the GCD of 61, 416, 140, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.