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GCD of 350, 475, 177, 242 Calculator

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


Online GCD Calculator is useful to find the GCD of 350, 475, 177, 242 quickly. Get the easiest ways to solve the greatest common divisor of 350, 475, 177, 242 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 475, 177, 242 with Factoring?

Given Input numbers are 350, 475, 177, 242

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 177 :

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

1, 3, 59, 177

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (350, 475, 177, 242) = 1.

Find GCD of 350, 475, 177, 242 using Prime Factorization

Given numbers are 350, 475, 177, 242

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 475 are 5 x 5 x 19

Prime factors of 177 are 3 x 59

Prime factors of 242 are 2 x 11 x 11

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

Steps to Calculate GCD of 350, 475, 177, 242 using LCM Formula

Given numbers are 350, 475, 177, 242

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

Apply this formula for all numbers.

Step1:

LCM(350, 475) = 6650

GCD(350, 475) = ( 350 x 475 ) / 6650

= 350 / 475

= 350


Step2:

LCM(25, 177) = 4425

GCD(25, 177) = ( 25 x 177 ) / 4425

= 25 / 177

= 25


Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1


So, Greatest Common Divisor of 350, 475, 177, 242 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 475, 177, 242

Given numbers are 350, 475, 177, 242
The greatest common divisor of numbers 350, 475, 177, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 475, 177, 242 is 1.

FAQs on GCD of 350, 475, 177, 242 Calculator

1. What is the GCD of 350, 475, 177, 242?

GCD of given numbers 350, 475, 177, 242 is 1


2. How to calculate the greatest common divisor of 350, 475, 177, 242?

We can find the highest common divisor of 350, 475, 177, 242 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 350, 475, 177, 242 i.e 1.


3. How can I use the GCD of 350, 475, 177, 242Calculator?

Out the numbers 350, 475, 177, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.