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GCD of 159, 822, 703, 712 Calculator

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


Online GCD Calculator is useful to find the GCD of 159, 822, 703, 712 quickly. Get the easiest ways to solve the greatest common divisor of 159, 822, 703, 712 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 159, 822, 703, 712 with Factoring?

Given Input numbers are 159, 822, 703, 712

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712


GCD of numbers is the greatest common divisor

So, the GCD (159, 822, 703, 712) = 1.

Find GCD of 159, 822, 703, 712 using Prime Factorization

Given numbers are 159, 822, 703, 712

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 822 are 2 x 3 x 137

Prime factors of 703 are 19 x 37

Prime factors of 712 are 2 x 2 x 2 x 89

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

Steps to Calculate GCD of 159, 822, 703, 712 using LCM Formula

Given numbers are 159, 822, 703, 712

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

Apply this formula for all numbers.

Step1:

LCM(159, 822) = 43566

GCD(159, 822) = ( 159 x 822 ) / 43566

= 159 / 822

= 159


Step2:

LCM(3, 703) = 2109

GCD(3, 703) = ( 3 x 703 ) / 2109

= 3 / 703

= 3


Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1


So, Greatest Common Divisor of 159, 822, 703, 712 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 159, 822, 703, 712

Given numbers are 159, 822, 703, 712
The greatest common divisor of numbers 159, 822, 703, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 822, 703, 712 is 1.

FAQs on GCD of 159, 822, 703, 712 Calculator

1. What is the GCD of 159, 822, 703, 712?

GCD of given numbers 159, 822, 703, 712 is 1


2. How to calculate the greatest common divisor of 159, 822, 703, 712?

We can find the highest common divisor of 159, 822, 703, 712 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 159, 822, 703, 712 i.e 1.


3. How can I use the GCD of 159, 822, 703, 712Calculator?

Out the numbers 159, 822, 703, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.