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GCD of 892, 753, 113, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 892, 753, 113, 189 quickly. Get the easiest ways to solve the greatest common divisor of 892, 753, 113, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 892, 753, 113, 189 with Factoring?

Given Input numbers are 892, 753, 113, 189

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (892, 753, 113, 189) = 1.

Find GCD of 892, 753, 113, 189 using Prime Factorization

Given numbers are 892, 753, 113, 189

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 753 are 3 x 251

Prime factors of 113 are 113

Prime factors of 189 are 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 892, 753, 113, 189 using LCM Formula

Given numbers are 892, 753, 113, 189

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

Apply this formula for all numbers.

Step1:

LCM(892, 753) = 671676

GCD(892, 753) = ( 892 x 753 ) / 671676

= 892 / 753

= 892


Step2:

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

= 1 / 113

= 1


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 892, 753, 113, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 892, 753, 113, 189

Given numbers are 892, 753, 113, 189
The greatest common divisor of numbers 892, 753, 113, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 753, 113, 189 is 1.

FAQs on GCD of 892, 753, 113, 189 Calculator

1. What is the GCD of 892, 753, 113, 189?

GCD of given numbers 892, 753, 113, 189 is 1


2. How to calculate the greatest common divisor of 892, 753, 113, 189?

We can find the highest common divisor of 892, 753, 113, 189 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 892, 753, 113, 189 i.e 1.


3. How can I use the GCD of 892, 753, 113, 189Calculator?

Out the numbers 892, 753, 113, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.