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GCD of 952, 343, 446, 171 Calculator

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


Online GCD Calculator is useful to find the GCD of 952, 343, 446, 171 quickly. Get the easiest ways to solve the greatest common divisor of 952, 343, 446, 171 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 952, 343, 446, 171 with Factoring?

Given Input numbers are 952, 343, 446, 171

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171


GCD of numbers is the greatest common divisor

So, the GCD (952, 343, 446, 171) = 1.

Find GCD of 952, 343, 446, 171 using Prime Factorization

Given numbers are 952, 343, 446, 171

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 343 are 7 x 7 x 7

Prime factors of 446 are 2 x 223

Prime factors of 171 are 3 x 3 x 19

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

Steps to Calculate GCD of 952, 343, 446, 171 using LCM Formula

Given numbers are 952, 343, 446, 171

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

Apply this formula for all numbers.

Step1:

LCM(952, 343) = 46648

GCD(952, 343) = ( 952 x 343 ) / 46648

= 952 / 343

= 952


Step2:

LCM(7, 446) = 3122

GCD(7, 446) = ( 7 x 446 ) / 3122

= 7 / 446

= 7


Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1


So, Greatest Common Divisor of 952, 343, 446, 171 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 952, 343, 446, 171

Given numbers are 952, 343, 446, 171
The greatest common divisor of numbers 952, 343, 446, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 343, 446, 171 is 1.

FAQs on GCD of 952, 343, 446, 171 Calculator

1. What is the GCD of 952, 343, 446, 171?

GCD of given numbers 952, 343, 446, 171 is 1


2. How to calculate the greatest common divisor of 952, 343, 446, 171?

We can find the highest common divisor of 952, 343, 446, 171 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 952, 343, 446, 171 i.e 1.


3. How can I use the GCD of 952, 343, 446, 171Calculator?

Out the numbers 952, 343, 446, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.