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GCD of 346, 989, 106, 429 Calculator

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


Online GCD Calculator is useful to find the GCD of 346, 989, 106, 429 quickly. Get the easiest ways to solve the greatest common divisor of 346, 989, 106, 429 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 346, 989, 106, 429 with Factoring?

Given Input numbers are 346, 989, 106, 429

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

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429


GCD of numbers is the greatest common divisor

So, the GCD (346, 989, 106, 429) = 1.

Find GCD of 346, 989, 106, 429 using Prime Factorization

Given numbers are 346, 989, 106, 429

The list of prime factors of all numbers are

Prime factors of 346 are 2 x 173

Prime factors of 989 are 23 x 43

Prime factors of 106 are 2 x 53

Prime factors of 429 are 3 x 11 x 13

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

Steps to Calculate GCD of 346, 989, 106, 429 using LCM Formula

Given numbers are 346, 989, 106, 429

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

Apply this formula for all numbers.

Step1:

LCM(346, 989) = 342194

GCD(346, 989) = ( 346 x 989 ) / 342194

= 346 / 989

= 346


Step2:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1


Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1


So, Greatest Common Divisor of 346, 989, 106, 429 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 346, 989, 106, 429

Given numbers are 346, 989, 106, 429
The greatest common divisor of numbers 346, 989, 106, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 989, 106, 429 is 1.

FAQs on GCD of 346, 989, 106, 429 Calculator

1. What is the GCD of 346, 989, 106, 429?

GCD of given numbers 346, 989, 106, 429 is 1


2. How to calculate the greatest common divisor of 346, 989, 106, 429?

We can find the highest common divisor of 346, 989, 106, 429 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 346, 989, 106, 429 i.e 1.


3. How can I use the GCD of 346, 989, 106, 429Calculator?

Out the numbers 346, 989, 106, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.