LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 996, 896, 423, 758 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 896, 423, 758 quickly. Get the easiest ways to solve the greatest common divisor of 996, 896, 423, 758 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 896, 423, 758 with Factoring?

Given Input numbers are 996, 896, 423, 758

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758


GCD of numbers is the greatest common divisor

So, the GCD (996, 896, 423, 758) = 1.

Find GCD of 996, 896, 423, 758 using Prime Factorization

Given numbers are 996, 896, 423, 758

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

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

Prime factors of 423 are 3 x 3 x 47

Prime factors of 758 are 2 x 379

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

Steps to Calculate GCD of 996, 896, 423, 758 using LCM Formula

Given numbers are 996, 896, 423, 758

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

Apply this formula for all numbers.

Step1:

LCM(996, 896) = 223104

GCD(996, 896) = ( 996 x 896 ) / 223104

= 996 / 896

= 996


Step2:

LCM(4, 423) = 1692

GCD(4, 423) = ( 4 x 423 ) / 1692

= 4 / 423

= 4


Step3:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1


So, Greatest Common Divisor of 996, 896, 423, 758 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 896, 423, 758

Given numbers are 996, 896, 423, 758
The greatest common divisor of numbers 996, 896, 423, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 896, 423, 758 is 1.

FAQs on GCD of 996, 896, 423, 758 Calculator

1. What is the GCD of 996, 896, 423, 758?

GCD of given numbers 996, 896, 423, 758 is 1


2. How to calculate the greatest common divisor of 996, 896, 423, 758?

We can find the highest common divisor of 996, 896, 423, 758 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 996, 896, 423, 758 i.e 1.


3. How can I use the GCD of 996, 896, 423, 758Calculator?

Out the numbers 996, 896, 423, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.