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GCD of 734, 850, 824, 424 Calculator

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


Online GCD Calculator is useful to find the GCD of 734, 850, 824, 424 quickly. Get the easiest ways to solve the greatest common divisor of 734, 850, 824, 424 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 850, 824, 424 with Factoring?

Given Input numbers are 734, 850, 824, 424

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424


GCD of numbers is the greatest common divisor

So, the GCD (734, 850, 824, 424) = 2.

Find GCD of 734, 850, 824, 424 using Prime Factorization

Given numbers are 734, 850, 824, 424

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 21

Therefore, GCD of 734, 850, 824, 424 is 2.

Steps to Calculate GCD of 734, 850, 824, 424 using LCM Formula

Given numbers are 734, 850, 824, 424

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

Apply this formula for all numbers.

Step1:

LCM(734, 850) = 311950

GCD(734, 850) = ( 734 x 850 ) / 311950

= 734 / 850

= 734


Step2:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2


Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2


So, Greatest Common Divisor of 734, 850, 824, 424 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 850, 824, 424

Given numbers are 734, 850, 824, 424
The greatest common divisor of numbers 734, 850, 824, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 850, 824, 424 is 2.

FAQs on GCD of 734, 850, 824, 424 Calculator

1. What is the GCD of 734, 850, 824, 424?

GCD of given numbers 734, 850, 824, 424 is 2


2. How to calculate the greatest common divisor of 734, 850, 824, 424?

We can find the highest common divisor of 734, 850, 824, 424 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 734, 850, 824, 424 i.e 2.


3. How can I use the GCD of 734, 850, 824, 424Calculator?

Out the numbers 734, 850, 824, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.