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GCD of 731, 436, 660, 896 Calculator

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


Online GCD Calculator is useful to find the GCD of 731, 436, 660, 896 quickly. Get the easiest ways to solve the greatest common divisor of 731, 436, 660, 896 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 731, 436, 660, 896 with Factoring?

Given Input numbers are 731, 436, 660, 896

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 436 :

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

1, 2, 4, 109, 218, 436

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896


GCD of numbers is the greatest common divisor

So, the GCD (731, 436, 660, 896) = 1.

Find GCD of 731, 436, 660, 896 using Prime Factorization

Given numbers are 731, 436, 660, 896

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 436 are 2 x 2 x 109

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 731, 436, 660, 896 using LCM Formula

Given numbers are 731, 436, 660, 896

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

Apply this formula for all numbers.

Step1:

LCM(731, 436) = 318716

GCD(731, 436) = ( 731 x 436 ) / 318716

= 731 / 436

= 731


Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1


So, Greatest Common Divisor of 731, 436, 660, 896 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 731, 436, 660, 896

Given numbers are 731, 436, 660, 896
The greatest common divisor of numbers 731, 436, 660, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 436, 660, 896 is 1.

FAQs on GCD of 731, 436, 660, 896 Calculator

1. What is the GCD of 731, 436, 660, 896?

GCD of given numbers 731, 436, 660, 896 is 1


2. How to calculate the greatest common divisor of 731, 436, 660, 896?

We can find the highest common divisor of 731, 436, 660, 896 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 731, 436, 660, 896 i.e 1.


3. How can I use the GCD of 731, 436, 660, 896Calculator?

Out the numbers 731, 436, 660, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.