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GCD of 536, 742, 888, 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 536, 742, 888, 902 quickly. Get the easiest ways to solve the greatest common divisor of 536, 742, 888, 902 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 536, 742, 888, 902 with Factoring?

Given Input numbers are 536, 742, 888, 902

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 742 :

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

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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 (536, 742, 888, 902) = 2.

Find GCD of 536, 742, 888, 902 using Prime Factorization

Given numbers are 536, 742, 888, 902

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 742 are 2 x 7 x 53

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 21

Therefore, GCD of 536, 742, 888, 902 is 2.

Steps to Calculate GCD of 536, 742, 888, 902 using LCM Formula

Given numbers are 536, 742, 888, 902

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

Apply this formula for all numbers.

Step1:

LCM(536, 742) = 198856

GCD(536, 742) = ( 536 x 742 ) / 198856

= 536 / 742

= 536


Step2:

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

= 2 / 888

= 2


Step3:

LCM(2, 902) = 902

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

= 2 / 902

= 2


So, Greatest Common Divisor of 536, 742, 888, 902 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 536, 742, 888, 902

Given numbers are 536, 742, 888, 902
The greatest common divisor of numbers 536, 742, 888, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 742, 888, 902 is 2.

FAQs on GCD of 536, 742, 888, 902 Calculator

1. What is the GCD of 536, 742, 888, 902?

GCD of given numbers 536, 742, 888, 902 is 2


2. How to calculate the greatest common divisor of 536, 742, 888, 902?

We can find the highest common divisor of 536, 742, 888, 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 536, 742, 888, 902 i.e 2.


3. How can I use the GCD of 536, 742, 888, 902Calculator?

Out the numbers 536, 742, 888, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.