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GCD of 402, 398, 269, 347 Calculator

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


Online GCD Calculator is useful to find the GCD of 402, 398, 269, 347 quickly. Get the easiest ways to solve the greatest common divisor of 402, 398, 269, 347 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 402, 398, 269, 347 with Factoring?

Given Input numbers are 402, 398, 269, 347

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

Divisors of 402 :

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

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347


GCD of numbers is the greatest common divisor

So, the GCD (402, 398, 269, 347) = 1.

Find GCD of 402, 398, 269, 347 using Prime Factorization

Given numbers are 402, 398, 269, 347

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 398 are 2 x 199

Prime factors of 269 are 269

Prime factors of 347 are 347

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

Steps to Calculate GCD of 402, 398, 269, 347 using LCM Formula

Given numbers are 402, 398, 269, 347

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

Apply this formula for all numbers.

Step1:

LCM(402, 398) = 79998

GCD(402, 398) = ( 402 x 398 ) / 79998

= 402 / 398

= 402


Step2:

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

= 2 / 269

= 2


Step3:

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

= 1 / 347

= 1


So, Greatest Common Divisor of 402, 398, 269, 347 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 402, 398, 269, 347

Given numbers are 402, 398, 269, 347
The greatest common divisor of numbers 402, 398, 269, 347 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 398, 269, 347 is 1.

FAQs on GCD of 402, 398, 269, 347 Calculator

1. What is the GCD of 402, 398, 269, 347?

GCD of given numbers 402, 398, 269, 347 is 1


2. How to calculate the greatest common divisor of 402, 398, 269, 347?

We can find the highest common divisor of 402, 398, 269, 347 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 402, 398, 269, 347 i.e 1.


3. How can I use the GCD of 402, 398, 269, 347Calculator?

Out the numbers 402, 398, 269, 347 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.