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GCD of 752, 820, 846, 904 Calculator

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


Online GCD Calculator is useful to find the GCD of 752, 820, 846, 904 quickly. Get the easiest ways to solve the greatest common divisor of 752, 820, 846, 904 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 752, 820, 846, 904 with Factoring?

Given Input numbers are 752, 820, 846, 904

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904


GCD of numbers is the greatest common divisor

So, the GCD (752, 820, 846, 904) = 2.

Find GCD of 752, 820, 846, 904 using Prime Factorization

Given numbers are 752, 820, 846, 904

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 21

Therefore, GCD of 752, 820, 846, 904 is 2.

Steps to Calculate GCD of 752, 820, 846, 904 using LCM Formula

Given numbers are 752, 820, 846, 904

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

Apply this formula for all numbers.

Step1:

LCM(752, 820) = 154160

GCD(752, 820) = ( 752 x 820 ) / 154160

= 752 / 820

= 752


Step2:

LCM(4, 846) = 1692

GCD(4, 846) = ( 4 x 846 ) / 1692

= 4 / 846

= 4


Step3:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2


So, Greatest Common Divisor of 752, 820, 846, 904 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 752, 820, 846, 904

Given numbers are 752, 820, 846, 904
The greatest common divisor of numbers 752, 820, 846, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 820, 846, 904 is 2.

FAQs on GCD of 752, 820, 846, 904 Calculator

1. What is the GCD of 752, 820, 846, 904?

GCD of given numbers 752, 820, 846, 904 is 2


2. How to calculate the greatest common divisor of 752, 820, 846, 904?

We can find the highest common divisor of 752, 820, 846, 904 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 752, 820, 846, 904 i.e 2.


3. How can I use the GCD of 752, 820, 846, 904Calculator?

Out the numbers 752, 820, 846, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.