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GCD of 705, 381, 981, 128 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 705, 381, 981, 128 quickly. Get the easiest ways to solve the greatest common divisor of 705, 381, 981, 128 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 705, 381, 981, 128 with Factoring?

Given Input numbers are 705, 381, 981, 128

In the factoring method, we have to find the divisors of all numbers

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128


GCD of numbers is the greatest common divisor

So, the GCD (705, 381, 981, 128) = 1.

Find GCD of 705, 381, 981, 128 using Prime Factorization

Given numbers are 705, 381, 981, 128

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 381 are 3 x 127

Prime factors of 981 are 3 x 3 x 109

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 705, 381, 981, 128 using LCM Formula

Given numbers are 705, 381, 981, 128

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(705, 381) = 89535

GCD(705, 381) = ( 705 x 381 ) / 89535

= 705 / 381

= 705


Step2:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3


Step3:

LCM(3, 128) = 384

GCD(3, 128) = ( 3 x 128 ) / 384

= 3 / 128

= 3


So, Greatest Common Divisor of 705, 381, 981, 128 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 705, 381, 981, 128

Given numbers are 705, 381, 981, 128
The greatest common divisor of numbers 705, 381, 981, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 381, 981, 128 is 1.

FAQs on GCD of 705, 381, 981, 128 Calculator

1. What is the GCD of 705, 381, 981, 128?

GCD of given numbers 705, 381, 981, 128 is 1


2. How to calculate the greatest common divisor of 705, 381, 981, 128?

We can find the highest common divisor of 705, 381, 981, 128 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 705, 381, 981, 128 i.e 1.


3. How can I use the GCD of 705, 381, 981, 128Calculator?

Out the numbers 705, 381, 981, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.