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 924, 434, 854, 358 Calculator

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


Online GCD Calculator is useful to find the GCD of 924, 434, 854, 358 quickly. Get the easiest ways to solve the greatest common divisor of 924, 434, 854, 358 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 924, 434, 854, 358 with Factoring?

Given Input numbers are 924, 434, 854, 358

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358


GCD of numbers is the greatest common divisor

So, the GCD (924, 434, 854, 358) = 2.

Find GCD of 924, 434, 854, 358 using Prime Factorization

Given numbers are 924, 434, 854, 358

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 434 are 2 x 7 x 31

Prime factors of 854 are 2 x 7 x 61

Prime factors of 358 are 2 x 179

The highest common occurrence is 21

Therefore, GCD of 924, 434, 854, 358 is 2.

Steps to Calculate GCD of 924, 434, 854, 358 using LCM Formula

Given numbers are 924, 434, 854, 358

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

Apply this formula for all numbers.

Step1:

LCM(924, 434) = 28644

GCD(924, 434) = ( 924 x 434 ) / 28644

= 924 / 434

= 924


Step2:

LCM(14, 854) = 854

GCD(14, 854) = ( 14 x 854 ) / 854

= 14 / 854

= 14


Step3:

LCM(14, 358) = 2506

GCD(14, 358) = ( 14 x 358 ) / 2506

= 14 / 358

= 14


So, Greatest Common Divisor of 924, 434, 854, 358 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 924, 434, 854, 358

Given numbers are 924, 434, 854, 358
The greatest common divisor of numbers 924, 434, 854, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 434, 854, 358 is 2.

FAQs on GCD of 924, 434, 854, 358 Calculator

1. What is the GCD of 924, 434, 854, 358?

GCD of given numbers 924, 434, 854, 358 is 2


2. How to calculate the greatest common divisor of 924, 434, 854, 358?

We can find the highest common divisor of 924, 434, 854, 358 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 924, 434, 854, 358 i.e 2.


3. How can I use the GCD of 924, 434, 854, 358Calculator?

Out the numbers 924, 434, 854, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.