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GCD of 892, 824, 673, 112 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, 824, 673, 112 quickly. Get the easiest ways to solve the greatest common divisor of 892, 824, 673, 112 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 892, 824, 673, 112 with Factoring?

Given Input numbers are 892, 824, 673, 112

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 673 :

The positive integer divisors of 673 that completely divides 673 are.

1, 673

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112


GCD of numbers is the greatest common divisor

So, the GCD (892, 824, 673, 112) = 1.

Find GCD of 892, 824, 673, 112 using Prime Factorization

Given numbers are 892, 824, 673, 112

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 673 are 673

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 892, 824, 673, 112 using LCM Formula

Given numbers are 892, 824, 673, 112

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

Apply this formula for all numbers.

Step1:

LCM(892, 824) = 183752

GCD(892, 824) = ( 892 x 824 ) / 183752

= 892 / 824

= 892


Step2:

LCM(4, 673) = 2692

GCD(4, 673) = ( 4 x 673 ) / 2692

= 4 / 673

= 4


Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1


So, Greatest Common Divisor of 892, 824, 673, 112 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 892, 824, 673, 112

Given numbers are 892, 824, 673, 112
The greatest common divisor of numbers 892, 824, 673, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 824, 673, 112 is 1.

FAQs on GCD of 892, 824, 673, 112 Calculator

1. What is the GCD of 892, 824, 673, 112?

GCD of given numbers 892, 824, 673, 112 is 1


2. How to calculate the greatest common divisor of 892, 824, 673, 112?

We can find the highest common divisor of 892, 824, 673, 112 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, 824, 673, 112 i.e 1.


3. How can I use the GCD of 892, 824, 673, 112Calculator?

Out the numbers 892, 824, 673, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.