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GCD of 167, 614, 689, 691 Calculator

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


Online GCD Calculator is useful to find the GCD of 167, 614, 689, 691 quickly. Get the easiest ways to solve the greatest common divisor of 167, 614, 689, 691 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 167, 614, 689, 691 with Factoring?

Given Input numbers are 167, 614, 689, 691

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

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691


GCD of numbers is the greatest common divisor

So, the GCD (167, 614, 689, 691) = 1.

Find GCD of 167, 614, 689, 691 using Prime Factorization

Given numbers are 167, 614, 689, 691

The list of prime factors of all numbers are

Prime factors of 167 are 167

Prime factors of 614 are 2 x 307

Prime factors of 689 are 13 x 53

Prime factors of 691 are 691

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

Steps to Calculate GCD of 167, 614, 689, 691 using LCM Formula

Given numbers are 167, 614, 689, 691

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

Apply this formula for all numbers.

Step1:

LCM(167, 614) = 102538

GCD(167, 614) = ( 167 x 614 ) / 102538

= 167 / 614

= 167


Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


So, Greatest Common Divisor of 167, 614, 689, 691 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 167, 614, 689, 691

Given numbers are 167, 614, 689, 691
The greatest common divisor of numbers 167, 614, 689, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 167, 614, 689, 691 is 1.

FAQs on GCD of 167, 614, 689, 691 Calculator

1. What is the GCD of 167, 614, 689, 691?

GCD of given numbers 167, 614, 689, 691 is 1


2. How to calculate the greatest common divisor of 167, 614, 689, 691?

We can find the highest common divisor of 167, 614, 689, 691 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 167, 614, 689, 691 i.e 1.


3. How can I use the GCD of 167, 614, 689, 691Calculator?

Out the numbers 167, 614, 689, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.