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GCD of 771, 314, 687, 340 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, 314, 687, 340 quickly. Get the easiest ways to solve the greatest common divisor of 771, 314, 687, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 771, 314, 687, 340 with Factoring?

Given Input numbers are 771, 314, 687, 340

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (771, 314, 687, 340) = 1.

Find GCD of 771, 314, 687, 340 using Prime Factorization

Given numbers are 771, 314, 687, 340

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 314 are 2 x 157

Prime factors of 687 are 3 x 229

Prime factors of 340 are 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 771, 314, 687, 340 using LCM Formula

Given numbers are 771, 314, 687, 340

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

Apply this formula for all numbers.

Step1:

LCM(771, 314) = 242094

GCD(771, 314) = ( 771 x 314 ) / 242094

= 771 / 314

= 771


Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1


So, Greatest Common Divisor of 771, 314, 687, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 771, 314, 687, 340

Given numbers are 771, 314, 687, 340
The greatest common divisor of numbers 771, 314, 687, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 314, 687, 340 is 1.

FAQs on GCD of 771, 314, 687, 340 Calculator

1. What is the GCD of 771, 314, 687, 340?

GCD of given numbers 771, 314, 687, 340 is 1


2. How to calculate the greatest common divisor of 771, 314, 687, 340?

We can find the highest common divisor of 771, 314, 687, 340 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, 314, 687, 340 i.e 1.


3. How can I use the GCD of 771, 314, 687, 340Calculator?

Out the numbers 771, 314, 687, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.