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GCD of 677, 206, 289, 134 Calculator

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


Online GCD Calculator is useful to find the GCD of 677, 206, 289, 134 quickly. Get the easiest ways to solve the greatest common divisor of 677, 206, 289, 134 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 677, 206, 289, 134 with Factoring?

Given Input numbers are 677, 206, 289, 134

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134


GCD of numbers is the greatest common divisor

So, the GCD (677, 206, 289, 134) = 1.

Find GCD of 677, 206, 289, 134 using Prime Factorization

Given numbers are 677, 206, 289, 134

The list of prime factors of all numbers are

Prime factors of 677 are 677

Prime factors of 206 are 2 x 103

Prime factors of 289 are 17 x 17

Prime factors of 134 are 2 x 67

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

Steps to Calculate GCD of 677, 206, 289, 134 using LCM Formula

Given numbers are 677, 206, 289, 134

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

Apply this formula for all numbers.

Step1:

LCM(677, 206) = 139462

GCD(677, 206) = ( 677 x 206 ) / 139462

= 677 / 206

= 677


Step2:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1


Step3:

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

= 1 / 134

= 1


So, Greatest Common Divisor of 677, 206, 289, 134 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 677, 206, 289, 134

Given numbers are 677, 206, 289, 134
The greatest common divisor of numbers 677, 206, 289, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 206, 289, 134 is 1.

FAQs on GCD of 677, 206, 289, 134 Calculator

1. What is the GCD of 677, 206, 289, 134?

GCD of given numbers 677, 206, 289, 134 is 1


2. How to calculate the greatest common divisor of 677, 206, 289, 134?

We can find the highest common divisor of 677, 206, 289, 134 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 677, 206, 289, 134 i.e 1.


3. How can I use the GCD of 677, 206, 289, 134Calculator?

Out the numbers 677, 206, 289, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.