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GCD of 314, 771, 402 Calculator

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


Online GCD Calculator is useful to find the GCD of 314, 771, 402 quickly. Get the easiest ways to solve the greatest common divisor of 314, 771, 402 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 314, 771, 402 with Factoring?

Given Input numbers are 314, 771, 402

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 771 :

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

1, 3, 257, 771

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402


GCD of numbers is the greatest common divisor

So, the GCD (314, 771, 402) = 1.

Find GCD of 314, 771, 402 using Prime Factorization

Given numbers are 314, 771, 402

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 771 are 3 x 257

Prime factors of 402 are 2 x 3 x 67

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

Steps to Calculate GCD of 314, 771, 402 using LCM Formula

Given numbers are 314, 771, 402

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

Apply this formula for all numbers.

Step1:

LCM(314, 771) = 242094

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

= 314 / 771

= 314


Step2:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1


So, Greatest Common Divisor of 314, 771, 402 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 314, 771, 402

Given numbers are 314, 771, 402
The greatest common divisor of numbers 314, 771, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 771, 402 is 1.

FAQs on GCD of 314, 771, 402 Calculator

1. What is the GCD of 314, 771, 402?

GCD of given numbers 314, 771, 402 is 1


2. How to calculate the greatest common divisor of 314, 771, 402?

We can find the highest common divisor of 314, 771, 402 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 314, 771, 402 i.e 1.


3. How can I use the GCD of 314, 771, 402Calculator?

Out the numbers 314, 771, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.