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GCD of 166, 938, 208, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 166, 938, 208, 689 quickly. Get the easiest ways to solve the greatest common divisor of 166, 938, 208, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 166, 938, 208, 689 with Factoring?

Given Input numbers are 166, 938, 208, 689

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

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (166, 938, 208, 689) = 1.

Find GCD of 166, 938, 208, 689 using Prime Factorization

Given numbers are 166, 938, 208, 689

The list of prime factors of all numbers are

Prime factors of 166 are 2 x 83

Prime factors of 938 are 2 x 7 x 67

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 166, 938, 208, 689 using LCM Formula

Given numbers are 166, 938, 208, 689

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

Apply this formula for all numbers.

Step1:

LCM(166, 938) = 77854

GCD(166, 938) = ( 166 x 938 ) / 77854

= 166 / 938

= 166


Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2


Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2


So, Greatest Common Divisor of 166, 938, 208, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 166, 938, 208, 689

Given numbers are 166, 938, 208, 689
The greatest common divisor of numbers 166, 938, 208, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 166, 938, 208, 689 is 1.

FAQs on GCD of 166, 938, 208, 689 Calculator

1. What is the GCD of 166, 938, 208, 689?

GCD of given numbers 166, 938, 208, 689 is 1


2. How to calculate the greatest common divisor of 166, 938, 208, 689?

We can find the highest common divisor of 166, 938, 208, 689 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 166, 938, 208, 689 i.e 1.


3. How can I use the GCD of 166, 938, 208, 689Calculator?

Out the numbers 166, 938, 208, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.