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GCD of 872, 690, 761, 162 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 690, 761, 162 quickly. Get the easiest ways to solve the greatest common divisor of 872, 690, 761, 162 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 690, 761, 162 with Factoring?

Given Input numbers are 872, 690, 761, 162

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162


GCD of numbers is the greatest common divisor

So, the GCD (872, 690, 761, 162) = 1.

Find GCD of 872, 690, 761, 162 using Prime Factorization

Given numbers are 872, 690, 761, 162

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 761 are 761

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 872, 690, 761, 162 using LCM Formula

Given numbers are 872, 690, 761, 162

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

Apply this formula for all numbers.

Step1:

LCM(872, 690) = 300840

GCD(872, 690) = ( 872 x 690 ) / 300840

= 872 / 690

= 872


Step2:

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

= 2 / 761

= 2


Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1


So, Greatest Common Divisor of 872, 690, 761, 162 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 690, 761, 162

Given numbers are 872, 690, 761, 162
The greatest common divisor of numbers 872, 690, 761, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 690, 761, 162 is 1.

FAQs on GCD of 872, 690, 761, 162 Calculator

1. What is the GCD of 872, 690, 761, 162?

GCD of given numbers 872, 690, 761, 162 is 1


2. How to calculate the greatest common divisor of 872, 690, 761, 162?

We can find the highest common divisor of 872, 690, 761, 162 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 872, 690, 761, 162 i.e 1.


3. How can I use the GCD of 872, 690, 761, 162Calculator?

Out the numbers 872, 690, 761, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.