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GCD of 771, 708, 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 771, 708, 838 quickly. Get the easiest ways to solve the greatest common divisor of 771, 708, 838 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 771, 708, 838 with Factoring?

Given Input numbers are 771, 708, 838

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 (771, 708, 838) = 1.

Find GCD of 771, 708, 838 using Prime Factorization

Given numbers are 771, 708, 838

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 708 are 2 x 2 x 3 x 59

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 771, 708, 838 using LCM Formula

Given numbers are 771, 708, 838

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

Apply this formula for all numbers.

Step1:

LCM(771, 708) = 181956

GCD(771, 708) = ( 771 x 708 ) / 181956

= 771 / 708

= 771


Step2:

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

= 3 / 838

= 3


So, Greatest Common Divisor of 771, 708, 838 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 771, 708, 838

Given numbers are 771, 708, 838
The greatest common divisor of numbers 771, 708, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 708, 838 is 1.

FAQs on GCD of 771, 708, 838 Calculator

1. What is the GCD of 771, 708, 838?

GCD of given numbers 771, 708, 838 is 1


2. How to calculate the greatest common divisor of 771, 708, 838?

We can find the highest common divisor of 771, 708, 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 771, 708, 838 i.e 1.


3. How can I use the GCD of 771, 708, 838Calculator?

Out the numbers 771, 708, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.