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GCD of 160, 136, 422, 343 Calculator

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


Online GCD Calculator is useful to find the GCD of 160, 136, 422, 343 quickly. Get the easiest ways to solve the greatest common divisor of 160, 136, 422, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 160, 136, 422, 343 with Factoring?

Given Input numbers are 160, 136, 422, 343

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 343 :

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

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (160, 136, 422, 343) = 1.

Find GCD of 160, 136, 422, 343 using Prime Factorization

Given numbers are 160, 136, 422, 343

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 422 are 2 x 211

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 160, 136, 422, 343 using LCM Formula

Given numbers are 160, 136, 422, 343

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

Apply this formula for all numbers.

Step1:

LCM(160, 136) = 2720

GCD(160, 136) = ( 160 x 136 ) / 2720

= 160 / 136

= 160


Step2:

LCM(8, 422) = 1688

GCD(8, 422) = ( 8 x 422 ) / 1688

= 8 / 422

= 8


Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2


So, Greatest Common Divisor of 160, 136, 422, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 160, 136, 422, 343

Given numbers are 160, 136, 422, 343
The greatest common divisor of numbers 160, 136, 422, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 136, 422, 343 is 1.

FAQs on GCD of 160, 136, 422, 343 Calculator

1. What is the GCD of 160, 136, 422, 343?

GCD of given numbers 160, 136, 422, 343 is 1


2. How to calculate the greatest common divisor of 160, 136, 422, 343?

We can find the highest common divisor of 160, 136, 422, 343 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 160, 136, 422, 343 i.e 1.


3. How can I use the GCD of 160, 136, 422, 343Calculator?

Out the numbers 160, 136, 422, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.