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GCD of 134, 731, 706, 838 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 731, 706, 838 quickly. Get the easiest ways to solve the greatest common divisor of 134, 731, 706, 838 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 731, 706, 838 with Factoring?

Given Input numbers are 134, 731, 706, 838

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

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838


GCD of numbers is the greatest common divisor

So, the GCD (134, 731, 706, 838) = 1.

Find GCD of 134, 731, 706, 838 using Prime Factorization

Given numbers are 134, 731, 706, 838

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 731 are 17 x 43

Prime factors of 706 are 2 x 353

Prime factors of 838 are 2 x 419

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

Steps to Calculate GCD of 134, 731, 706, 838 using LCM Formula

Given numbers are 134, 731, 706, 838

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

Apply this formula for all numbers.

Step1:

LCM(134, 731) = 97954

GCD(134, 731) = ( 134 x 731 ) / 97954

= 134 / 731

= 134


Step2:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1


Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1


So, Greatest Common Divisor of 134, 731, 706, 838 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 731, 706, 838

Given numbers are 134, 731, 706, 838
The greatest common divisor of numbers 134, 731, 706, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 731, 706, 838 is 1.

FAQs on GCD of 134, 731, 706, 838 Calculator

1. What is the GCD of 134, 731, 706, 838?

GCD of given numbers 134, 731, 706, 838 is 1


2. How to calculate the greatest common divisor of 134, 731, 706, 838?

We can find the highest common divisor of 134, 731, 706, 838 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 134, 731, 706, 838 i.e 1.


3. How can I use the GCD of 134, 731, 706, 838Calculator?

Out the numbers 134, 731, 706, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.