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GCD of 352, 940, 723, 461 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 940, 723, 461 quickly. Get the easiest ways to solve the greatest common divisor of 352, 940, 723, 461 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 940, 723, 461 with Factoring?

Given Input numbers are 352, 940, 723, 461

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461


GCD of numbers is the greatest common divisor

So, the GCD (352, 940, 723, 461) = 1.

Find GCD of 352, 940, 723, 461 using Prime Factorization

Given numbers are 352, 940, 723, 461

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 723 are 3 x 241

Prime factors of 461 are 461

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

Steps to Calculate GCD of 352, 940, 723, 461 using LCM Formula

Given numbers are 352, 940, 723, 461

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

Apply this formula for all numbers.

Step1:

LCM(352, 940) = 82720

GCD(352, 940) = ( 352 x 940 ) / 82720

= 352 / 940

= 352


Step2:

LCM(4, 723) = 2892

GCD(4, 723) = ( 4 x 723 ) / 2892

= 4 / 723

= 4


Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1


So, Greatest Common Divisor of 352, 940, 723, 461 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 940, 723, 461

Given numbers are 352, 940, 723, 461
The greatest common divisor of numbers 352, 940, 723, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 940, 723, 461 is 1.

FAQs on GCD of 352, 940, 723, 461 Calculator

1. What is the GCD of 352, 940, 723, 461?

GCD of given numbers 352, 940, 723, 461 is 1


2. How to calculate the greatest common divisor of 352, 940, 723, 461?

We can find the highest common divisor of 352, 940, 723, 461 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 352, 940, 723, 461 i.e 1.


3. How can I use the GCD of 352, 940, 723, 461Calculator?

Out the numbers 352, 940, 723, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.