GCD of 142, 441, 705, 986 Calculator

Given Input numbers are 142, 441, 705, 986

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 142, 441, 705, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 441, 705, 986 is 1.

Therefore, GCD of numbers 142, 441, 705, 986 is 1

Given Input Data is 142, 441, 705, 986

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 986 is 2 x 17 x 29

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(142, 441) = 62622

GCD(142, 441) = ( 142 x 441 ) / 62622

GCD(142, 441) = 62622 / 62622

GCD(142, 441) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 142, 441, 705, 986 is 1

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1. What is the GCD of 142, 441, 705, 986?

GCD of 142, 441, 705, 986 is 1

2. Where do I get the detailed procedure to find GCD of 142, 441, 705, 986?

You can find a detailed procedure to find GCD of 142, 441, 705, 986 on our page.

3. How to find GCD of 142, 441, 705, 986 on a calculator?

You can find the GCD of 142, 441, 705, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.