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GCD of 112, 674, 863, 145 Calculator

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


Online GCD Calculator is useful to find the GCD of 112, 674, 863, 145 quickly. Get the easiest ways to solve the greatest common divisor of 112, 674, 863, 145 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 112, 674, 863, 145 with Factoring?

Given Input numbers are 112, 674, 863, 145

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

Divisors of 112 :

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

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 863 :

The positive integer divisors of 863 that completely divides 863 are.

1, 863

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145


GCD of numbers is the greatest common divisor

So, the GCD (112, 674, 863, 145) = 1.

Find GCD of 112, 674, 863, 145 using Prime Factorization

Given numbers are 112, 674, 863, 145

The list of prime factors of all numbers are

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

Prime factors of 674 are 2 x 337

Prime factors of 863 are 863

Prime factors of 145 are 5 x 29

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

Steps to Calculate GCD of 112, 674, 863, 145 using LCM Formula

Given numbers are 112, 674, 863, 145

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

Apply this formula for all numbers.

Step1:

LCM(112, 674) = 37744

GCD(112, 674) = ( 112 x 674 ) / 37744

= 112 / 674

= 112


Step2:

LCM(2, 863) = 1726

GCD(2, 863) = ( 2 x 863 ) / 1726

= 2 / 863

= 2


Step3:

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

= 1 / 145

= 1


So, Greatest Common Divisor of 112, 674, 863, 145 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 112, 674, 863, 145

Given numbers are 112, 674, 863, 145
The greatest common divisor of numbers 112, 674, 863, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 674, 863, 145 is 1.

FAQs on GCD of 112, 674, 863, 145 Calculator

1. What is the GCD of 112, 674, 863, 145?

GCD of given numbers 112, 674, 863, 145 is 1


2. How to calculate the greatest common divisor of 112, 674, 863, 145?

We can find the highest common divisor of 112, 674, 863, 145 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 112, 674, 863, 145 i.e 1.


3. How can I use the GCD of 112, 674, 863, 145Calculator?

Out the numbers 112, 674, 863, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.