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GCD of 176, 429, 407, 989 Calculator

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


Online GCD Calculator is useful to find the GCD of 176, 429, 407, 989 quickly. Get the easiest ways to solve the greatest common divisor of 176, 429, 407, 989 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 176, 429, 407, 989 with Factoring?

Given Input numbers are 176, 429, 407, 989

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 429 :

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

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 989 :

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

1, 23, 43, 989


GCD of numbers is the greatest common divisor

So, the GCD (176, 429, 407, 989) = 1.

Find GCD of 176, 429, 407, 989 using Prime Factorization

Given numbers are 176, 429, 407, 989

The list of prime factors of all numbers are

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 429 are 3 x 11 x 13

Prime factors of 407 are 11 x 37

Prime factors of 989 are 23 x 43

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

Steps to Calculate GCD of 176, 429, 407, 989 using LCM Formula

Given numbers are 176, 429, 407, 989

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

Apply this formula for all numbers.

Step1:

LCM(176, 429) = 6864

GCD(176, 429) = ( 176 x 429 ) / 6864

= 176 / 429

= 176


Step2:

LCM(11, 407) = 407

GCD(11, 407) = ( 11 x 407 ) / 407

= 11 / 407

= 11


Step3:

LCM(11, 989) = 10879

GCD(11, 989) = ( 11 x 989 ) / 10879

= 11 / 989

= 11


So, Greatest Common Divisor of 176, 429, 407, 989 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 176, 429, 407, 989

Given numbers are 176, 429, 407, 989
The greatest common divisor of numbers 176, 429, 407, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 429, 407, 989 is 1.

FAQs on GCD of 176, 429, 407, 989 Calculator

1. What is the GCD of 176, 429, 407, 989?

GCD of given numbers 176, 429, 407, 989 is 1


2. How to calculate the greatest common divisor of 176, 429, 407, 989?

We can find the highest common divisor of 176, 429, 407, 989 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 176, 429, 407, 989 i.e 1.


3. How can I use the GCD of 176, 429, 407, 989Calculator?

Out the numbers 176, 429, 407, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.