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GCD of 350, 742, 110, 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 350, 742, 110, 838 quickly. Get the easiest ways to solve the greatest common divisor of 350, 742, 110, 838 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 742, 110, 838 with Factoring?

Given Input numbers are 350, 742, 110, 838

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

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 (350, 742, 110, 838) = 2.

Find GCD of 350, 742, 110, 838 using Prime Factorization

Given numbers are 350, 742, 110, 838

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 742 are 2 x 7 x 53

Prime factors of 110 are 2 x 5 x 11

Prime factors of 838 are 2 x 419

The highest common occurrence is 21

Therefore, GCD of 350, 742, 110, 838 is 2.

Steps to Calculate GCD of 350, 742, 110, 838 using LCM Formula

Given numbers are 350, 742, 110, 838

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

Apply this formula for all numbers.

Step1:

LCM(350, 742) = 18550

GCD(350, 742) = ( 350 x 742 ) / 18550

= 350 / 742

= 350


Step2:

LCM(14, 110) = 770

GCD(14, 110) = ( 14 x 110 ) / 770

= 14 / 110

= 14


Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2


So, Greatest Common Divisor of 350, 742, 110, 838 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 742, 110, 838

Given numbers are 350, 742, 110, 838
The greatest common divisor of numbers 350, 742, 110, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 742, 110, 838 is 2.

FAQs on GCD of 350, 742, 110, 838 Calculator

1. What is the GCD of 350, 742, 110, 838?

GCD of given numbers 350, 742, 110, 838 is 2


2. How to calculate the greatest common divisor of 350, 742, 110, 838?

We can find the highest common divisor of 350, 742, 110, 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 350, 742, 110, 838 i.e 2.


3. How can I use the GCD of 350, 742, 110, 838Calculator?

Out the numbers 350, 742, 110, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.