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GCD of 177, 100, 397, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 177, 100, 397, 842 quickly. Get the easiest ways to solve the greatest common divisor of 177, 100, 397, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 177, 100, 397, 842 with Factoring?

Given Input numbers are 177, 100, 397, 842

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

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (177, 100, 397, 842) = 1.

Find GCD of 177, 100, 397, 842 using Prime Factorization

Given numbers are 177, 100, 397, 842

The list of prime factors of all numbers are

Prime factors of 177 are 3 x 59

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 397 are 397

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 177, 100, 397, 842 using LCM Formula

Given numbers are 177, 100, 397, 842

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

Apply this formula for all numbers.

Step1:

LCM(177, 100) = 17700

GCD(177, 100) = ( 177 x 100 ) / 17700

= 177 / 100

= 177


Step2:

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

= 1 / 397

= 1


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 177, 100, 397, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 177, 100, 397, 842

Given numbers are 177, 100, 397, 842
The greatest common divisor of numbers 177, 100, 397, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 100, 397, 842 is 1.

FAQs on GCD of 177, 100, 397, 842 Calculator

1. What is the GCD of 177, 100, 397, 842?

GCD of given numbers 177, 100, 397, 842 is 1


2. How to calculate the greatest common divisor of 177, 100, 397, 842?

We can find the highest common divisor of 177, 100, 397, 842 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 177, 100, 397, 842 i.e 1.


3. How can I use the GCD of 177, 100, 397, 842Calculator?

Out the numbers 177, 100, 397, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.