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GCD of 824, 740, 334, 624 Calculator

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


Online GCD Calculator is useful to find the GCD of 824, 740, 334, 624 quickly. Get the easiest ways to solve the greatest common divisor of 824, 740, 334, 624 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 824, 740, 334, 624 with Factoring?

Given Input numbers are 824, 740, 334, 624

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

Divisors of 824 :

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

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (824, 740, 334, 624) = 2.

Find GCD of 824, 740, 334, 624 using Prime Factorization

Given numbers are 824, 740, 334, 624

The list of prime factors of all numbers are

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

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 334 are 2 x 167

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 824, 740, 334, 624 is 2.

Steps to Calculate GCD of 824, 740, 334, 624 using LCM Formula

Given numbers are 824, 740, 334, 624

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

Apply this formula for all numbers.

Step1:

LCM(824, 740) = 152440

GCD(824, 740) = ( 824 x 740 ) / 152440

= 824 / 740

= 824


Step2:

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

= 4 / 334

= 4


Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2


So, Greatest Common Divisor of 824, 740, 334, 624 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 824, 740, 334, 624

Given numbers are 824, 740, 334, 624
The greatest common divisor of numbers 824, 740, 334, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 740, 334, 624 is 2.

FAQs on GCD of 824, 740, 334, 624 Calculator

1. What is the GCD of 824, 740, 334, 624?

GCD of given numbers 824, 740, 334, 624 is 2


2. How to calculate the greatest common divisor of 824, 740, 334, 624?

We can find the highest common divisor of 824, 740, 334, 624 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 824, 740, 334, 624 i.e 2.


3. How can I use the GCD of 824, 740, 334, 624Calculator?

Out the numbers 824, 740, 334, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.