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GCD of 838, 240, 702, 710 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 240, 702, 710 quickly. Get the easiest ways to solve the greatest common divisor of 838, 240, 702, 710 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 240, 702, 710 with Factoring?

Given Input numbers are 838, 240, 702, 710

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710


GCD of numbers is the greatest common divisor

So, the GCD (838, 240, 702, 710) = 2.

Find GCD of 838, 240, 702, 710 using Prime Factorization

Given numbers are 838, 240, 702, 710

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 21

Therefore, GCD of 838, 240, 702, 710 is 2.

Steps to Calculate GCD of 838, 240, 702, 710 using LCM Formula

Given numbers are 838, 240, 702, 710

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

Apply this formula for all numbers.

Step1:

LCM(838, 240) = 100560

GCD(838, 240) = ( 838 x 240 ) / 100560

= 838 / 240

= 838


Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2


Step3:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2


So, Greatest Common Divisor of 838, 240, 702, 710 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 240, 702, 710

Given numbers are 838, 240, 702, 710
The greatest common divisor of numbers 838, 240, 702, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 240, 702, 710 is 2.

FAQs on GCD of 838, 240, 702, 710 Calculator

1. What is the GCD of 838, 240, 702, 710?

GCD of given numbers 838, 240, 702, 710 is 2


2. How to calculate the greatest common divisor of 838, 240, 702, 710?

We can find the highest common divisor of 838, 240, 702, 710 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 838, 240, 702, 710 i.e 2.


3. How can I use the GCD of 838, 240, 702, 710Calculator?

Out the numbers 838, 240, 702, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.