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GCD of 882, 749, 194, 123 Calculator

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


Online GCD Calculator is useful to find the GCD of 882, 749, 194, 123 quickly. Get the easiest ways to solve the greatest common divisor of 882, 749, 194, 123 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 882, 749, 194, 123 with Factoring?

Given Input numbers are 882, 749, 194, 123

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123


GCD of numbers is the greatest common divisor

So, the GCD (882, 749, 194, 123) = 1.

Find GCD of 882, 749, 194, 123 using Prime Factorization

Given numbers are 882, 749, 194, 123

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 749 are 7 x 107

Prime factors of 194 are 2 x 97

Prime factors of 123 are 3 x 41

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

Steps to Calculate GCD of 882, 749, 194, 123 using LCM Formula

Given numbers are 882, 749, 194, 123

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

Apply this formula for all numbers.

Step1:

LCM(882, 749) = 94374

GCD(882, 749) = ( 882 x 749 ) / 94374

= 882 / 749

= 882


Step2:

LCM(7, 194) = 1358

GCD(7, 194) = ( 7 x 194 ) / 1358

= 7 / 194

= 7


Step3:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1


So, Greatest Common Divisor of 882, 749, 194, 123 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 882, 749, 194, 123

Given numbers are 882, 749, 194, 123
The greatest common divisor of numbers 882, 749, 194, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 749, 194, 123 is 1.

FAQs on GCD of 882, 749, 194, 123 Calculator

1. What is the GCD of 882, 749, 194, 123?

GCD of given numbers 882, 749, 194, 123 is 1


2. How to calculate the greatest common divisor of 882, 749, 194, 123?

We can find the highest common divisor of 882, 749, 194, 123 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 882, 749, 194, 123 i.e 1.


3. How can I use the GCD of 882, 749, 194, 123Calculator?

Out the numbers 882, 749, 194, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.