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GCD of 436, 138, 562, 882 Calculator

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


Online GCD Calculator is useful to find the GCD of 436, 138, 562, 882 quickly. Get the easiest ways to solve the greatest common divisor of 436, 138, 562, 882 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 436, 138, 562, 882 with Factoring?

Given Input numbers are 436, 138, 562, 882

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

Divisors of 436 :

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

1, 2, 4, 109, 218, 436

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882


GCD of numbers is the greatest common divisor

So, the GCD (436, 138, 562, 882) = 2.

Find GCD of 436, 138, 562, 882 using Prime Factorization

Given numbers are 436, 138, 562, 882

The list of prime factors of all numbers are

Prime factors of 436 are 2 x 2 x 109

Prime factors of 138 are 2 x 3 x 23

Prime factors of 562 are 2 x 281

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 436, 138, 562, 882 is 2.

Steps to Calculate GCD of 436, 138, 562, 882 using LCM Formula

Given numbers are 436, 138, 562, 882

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

Apply this formula for all numbers.

Step1:

LCM(436, 138) = 30084

GCD(436, 138) = ( 436 x 138 ) / 30084

= 436 / 138

= 436


Step2:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2


Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2


So, Greatest Common Divisor of 436, 138, 562, 882 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 436, 138, 562, 882

Given numbers are 436, 138, 562, 882
The greatest common divisor of numbers 436, 138, 562, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 138, 562, 882 is 2.

FAQs on GCD of 436, 138, 562, 882 Calculator

1. What is the GCD of 436, 138, 562, 882?

GCD of given numbers 436, 138, 562, 882 is 2


2. How to calculate the greatest common divisor of 436, 138, 562, 882?

We can find the highest common divisor of 436, 138, 562, 882 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 436, 138, 562, 882 i.e 2.


3. How can I use the GCD of 436, 138, 562, 882Calculator?

Out the numbers 436, 138, 562, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.