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GCD of 752, 442, 466, 942 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, 442, 466, 942 quickly. Get the easiest ways to solve the greatest common divisor of 752, 442, 466, 942 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 752, 442, 466, 942 with Factoring?

Given Input numbers are 752, 442, 466, 942

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942


GCD of numbers is the greatest common divisor

So, the GCD (752, 442, 466, 942) = 2.

Find GCD of 752, 442, 466, 942 using Prime Factorization

Given numbers are 752, 442, 466, 942

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 442 are 2 x 13 x 17

Prime factors of 466 are 2 x 233

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 21

Therefore, GCD of 752, 442, 466, 942 is 2.

Steps to Calculate GCD of 752, 442, 466, 942 using LCM Formula

Given numbers are 752, 442, 466, 942

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

Apply this formula for all numbers.

Step1:

LCM(752, 442) = 166192

GCD(752, 442) = ( 752 x 442 ) / 166192

= 752 / 442

= 752


Step2:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2


Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2


So, Greatest Common Divisor of 752, 442, 466, 942 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 752, 442, 466, 942

Given numbers are 752, 442, 466, 942
The greatest common divisor of numbers 752, 442, 466, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 442, 466, 942 is 2.

FAQs on GCD of 752, 442, 466, 942 Calculator

1. What is the GCD of 752, 442, 466, 942?

GCD of given numbers 752, 442, 466, 942 is 2


2. How to calculate the greatest common divisor of 752, 442, 466, 942?

We can find the highest common divisor of 752, 442, 466, 942 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, 442, 466, 942 i.e 2.


3. How can I use the GCD of 752, 442, 466, 942Calculator?

Out the numbers 752, 442, 466, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.