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GCD of 802, 248, 838, 902 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 248, 838, 902 quickly. Get the easiest ways to solve the greatest common divisor of 802, 248, 838, 902 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 248, 838, 902 with Factoring?

Given Input numbers are 802, 248, 838, 902

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 902 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (802, 248, 838, 902) = 2.

Find GCD of 802, 248, 838, 902 using Prime Factorization

Given numbers are 802, 248, 838, 902

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 838 are 2 x 419

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 21

Therefore, GCD of 802, 248, 838, 902 is 2.

Steps to Calculate GCD of 802, 248, 838, 902 using LCM Formula

Given numbers are 802, 248, 838, 902

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

Apply this formula for all numbers.

Step1:

LCM(802, 248) = 99448

GCD(802, 248) = ( 802 x 248 ) / 99448

= 802 / 248

= 802


Step2:

LCM(2, 838) = 838

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

= 2 / 838

= 2


Step3:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2


So, Greatest Common Divisor of 802, 248, 838, 902 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 248, 838, 902

Given numbers are 802, 248, 838, 902
The greatest common divisor of numbers 802, 248, 838, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 248, 838, 902 is 2.

FAQs on GCD of 802, 248, 838, 902 Calculator

1. What is the GCD of 802, 248, 838, 902?

GCD of given numbers 802, 248, 838, 902 is 2


2. How to calculate the greatest common divisor of 802, 248, 838, 902?

We can find the highest common divisor of 802, 248, 838, 902 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 802, 248, 838, 902 i.e 2.


3. How can I use the GCD of 802, 248, 838, 902Calculator?

Out the numbers 802, 248, 838, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.