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GCD of 696, 436, 890, 298 Calculator

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


Online GCD Calculator is useful to find the GCD of 696, 436, 890, 298 quickly. Get the easiest ways to solve the greatest common divisor of 696, 436, 890, 298 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 696, 436, 890, 298 with Factoring?

Given Input numbers are 696, 436, 890, 298

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298


GCD of numbers is the greatest common divisor

So, the GCD (696, 436, 890, 298) = 2.

Find GCD of 696, 436, 890, 298 using Prime Factorization

Given numbers are 696, 436, 890, 298

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 436 are 2 x 2 x 109

Prime factors of 890 are 2 x 5 x 89

Prime factors of 298 are 2 x 149

The highest common occurrence is 21

Therefore, GCD of 696, 436, 890, 298 is 2.

Steps to Calculate GCD of 696, 436, 890, 298 using LCM Formula

Given numbers are 696, 436, 890, 298

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

Apply this formula for all numbers.

Step1:

LCM(696, 436) = 75864

GCD(696, 436) = ( 696 x 436 ) / 75864

= 696 / 436

= 696


Step2:

LCM(4, 890) = 1780

GCD(4, 890) = ( 4 x 890 ) / 1780

= 4 / 890

= 4


Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2


So, Greatest Common Divisor of 696, 436, 890, 298 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 696, 436, 890, 298

Given numbers are 696, 436, 890, 298
The greatest common divisor of numbers 696, 436, 890, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 436, 890, 298 is 2.

FAQs on GCD of 696, 436, 890, 298 Calculator

1. What is the GCD of 696, 436, 890, 298?

GCD of given numbers 696, 436, 890, 298 is 2


2. How to calculate the greatest common divisor of 696, 436, 890, 298?

We can find the highest common divisor of 696, 436, 890, 298 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 696, 436, 890, 298 i.e 2.


3. How can I use the GCD of 696, 436, 890, 298Calculator?

Out the numbers 696, 436, 890, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.