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GCD of 902, 755, 348, 349 Calculator

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


Online GCD Calculator is useful to find the GCD of 902, 755, 348, 349 quickly. Get the easiest ways to solve the greatest common divisor of 902, 755, 348, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 902, 755, 348, 349 with Factoring?

Given Input numbers are 902, 755, 348, 349

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349


GCD of numbers is the greatest common divisor

So, the GCD (902, 755, 348, 349) = 1.

Find GCD of 902, 755, 348, 349 using Prime Factorization

Given numbers are 902, 755, 348, 349

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 755 are 5 x 151

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 349 are 349

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

Steps to Calculate GCD of 902, 755, 348, 349 using LCM Formula

Given numbers are 902, 755, 348, 349

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

Apply this formula for all numbers.

Step1:

LCM(902, 755) = 681010

GCD(902, 755) = ( 902 x 755 ) / 681010

= 902 / 755

= 902


Step2:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1


Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


So, Greatest Common Divisor of 902, 755, 348, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 902, 755, 348, 349

Given numbers are 902, 755, 348, 349
The greatest common divisor of numbers 902, 755, 348, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 755, 348, 349 is 1.

FAQs on GCD of 902, 755, 348, 349 Calculator

1. What is the GCD of 902, 755, 348, 349?

GCD of given numbers 902, 755, 348, 349 is 1


2. How to calculate the greatest common divisor of 902, 755, 348, 349?

We can find the highest common divisor of 902, 755, 348, 349 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 902, 755, 348, 349 i.e 1.


3. How can I use the GCD of 902, 755, 348, 349Calculator?

Out the numbers 902, 755, 348, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.