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 840, 984, 188, 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 840, 984, 188, 896 quickly. Get the easiest ways to solve the greatest common divisor of 840, 984, 188, 896 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 984, 188, 896 with Factoring?

Given Input numbers are 840, 984, 188, 896

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

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 (840, 984, 188, 896) = 4.

Find GCD of 840, 984, 188, 896 using Prime Factorization

Given numbers are 840, 984, 188, 896

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 188 are 2 x 2 x 47

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

The highest common occurrence is 22

Therefore, GCD of 840, 984, 188, 896 is 4.

Steps to Calculate GCD of 840, 984, 188, 896 using LCM Formula

Given numbers are 840, 984, 188, 896

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

Apply this formula for all numbers.

Step1:

LCM(840, 984) = 34440

GCD(840, 984) = ( 840 x 984 ) / 34440

= 840 / 984

= 840


Step2:

LCM(24, 188) = 1128

GCD(24, 188) = ( 24 x 188 ) / 1128

= 24 / 188

= 24


Step3:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4


So, Greatest Common Divisor of 840, 984, 188, 896 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 984, 188, 896

Given numbers are 840, 984, 188, 896
The greatest common divisor of numbers 840, 984, 188, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 984, 188, 896 is 4.

FAQs on GCD of 840, 984, 188, 896 Calculator

1. What is the GCD of 840, 984, 188, 896?

GCD of given numbers 840, 984, 188, 896 is 4


2. How to calculate the greatest common divisor of 840, 984, 188, 896?

We can find the highest common divisor of 840, 984, 188, 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 840, 984, 188, 896 i.e 4.


3. How can I use the GCD of 840, 984, 188, 896Calculator?

Out the numbers 840, 984, 188, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.