LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 355, 748, 371, 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 355, 748, 371, 838 quickly. Get the easiest ways to solve the greatest common divisor of 355, 748, 371, 838 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 355, 748, 371, 838 with Factoring?

Given Input numbers are 355, 748, 371, 838

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

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 (355, 748, 371, 838) = 1.

Find GCD of 355, 748, 371, 838 using Prime Factorization

Given numbers are 355, 748, 371, 838

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 371 are 7 x 53

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 355, 748, 371, 838 using LCM Formula

Given numbers are 355, 748, 371, 838

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

Apply this formula for all numbers.

Step1:

LCM(355, 748) = 265540

GCD(355, 748) = ( 355 x 748 ) / 265540

= 355 / 748

= 355


Step2:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1


Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1


So, Greatest Common Divisor of 355, 748, 371, 838 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 355, 748, 371, 838

Given numbers are 355, 748, 371, 838
The greatest common divisor of numbers 355, 748, 371, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 748, 371, 838 is 1.

FAQs on GCD of 355, 748, 371, 838 Calculator

1. What is the GCD of 355, 748, 371, 838?

GCD of given numbers 355, 748, 371, 838 is 1


2. How to calculate the greatest common divisor of 355, 748, 371, 838?

We can find the highest common divisor of 355, 748, 371, 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 355, 748, 371, 838 i.e 1.


3. How can I use the GCD of 355, 748, 371, 838Calculator?

Out the numbers 355, 748, 371, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.