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GCD of 355, 949, 874, 462 Calculator

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


Online GCD Calculator is useful to find the GCD of 355, 949, 874, 462 quickly. Get the easiest ways to solve the greatest common divisor of 355, 949, 874, 462 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 355, 949, 874, 462 with Factoring?

Given Input numbers are 355, 949, 874, 462

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462


GCD of numbers is the greatest common divisor

So, the GCD (355, 949, 874, 462) = 1.

Find GCD of 355, 949, 874, 462 using Prime Factorization

Given numbers are 355, 949, 874, 462

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 949 are 13 x 73

Prime factors of 874 are 2 x 19 x 23

Prime factors of 462 are 2 x 3 x 7 x 11

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

Steps to Calculate GCD of 355, 949, 874, 462 using LCM Formula

Given numbers are 355, 949, 874, 462

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

Apply this formula for all numbers.

Step1:

LCM(355, 949) = 336895

GCD(355, 949) = ( 355 x 949 ) / 336895

= 355 / 949

= 355


Step2:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1


Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1


So, Greatest Common Divisor of 355, 949, 874, 462 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 355, 949, 874, 462

Given numbers are 355, 949, 874, 462
The greatest common divisor of numbers 355, 949, 874, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 949, 874, 462 is 1.

FAQs on GCD of 355, 949, 874, 462 Calculator

1. What is the GCD of 355, 949, 874, 462?

GCD of given numbers 355, 949, 874, 462 is 1


2. How to calculate the greatest common divisor of 355, 949, 874, 462?

We can find the highest common divisor of 355, 949, 874, 462 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 355, 949, 874, 462 i.e 1.


3. How can I use the GCD of 355, 949, 874, 462Calculator?

Out the numbers 355, 949, 874, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.