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 466, 357, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 466, 357, 704 quickly. Get the easiest ways to solve the greatest common divisor of 466, 357, 704 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 466, 357, 704 with Factoring?

Given Input numbers are 466, 357, 704

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

Divisors of 466 :

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

1, 2, 233, 466

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (466, 357, 704) = 1.

Find GCD of 466, 357, 704 using Prime Factorization

Given numbers are 466, 357, 704

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 357 are 3 x 7 x 17

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 466, 357, 704 using LCM Formula

Given numbers are 466, 357, 704

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

Apply this formula for all numbers.

Step1:

LCM(466, 357) = 166362

GCD(466, 357) = ( 466 x 357 ) / 166362

= 466 / 357

= 466


Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


So, Greatest Common Divisor of 466, 357, 704 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 466, 357, 704

Given numbers are 466, 357, 704
The greatest common divisor of numbers 466, 357, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 357, 704 is 1.

FAQs on GCD of 466, 357, 704 Calculator

1. What is the GCD of 466, 357, 704?

GCD of given numbers 466, 357, 704 is 1


2. How to calculate the greatest common divisor of 466, 357, 704?

We can find the highest common divisor of 466, 357, 704 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 466, 357, 704 i.e 1.


3. How can I use the GCD of 466, 357, 704Calculator?

Out the numbers 466, 357, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.