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GCD of 824, 520, 438, 707 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, 520, 438, 707 quickly. Get the easiest ways to solve the greatest common divisor of 824, 520, 438, 707 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 824, 520, 438, 707 with Factoring?

Given Input numbers are 824, 520, 438, 707

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707


GCD of numbers is the greatest common divisor

So, the GCD (824, 520, 438, 707) = 1.

Find GCD of 824, 520, 438, 707 using Prime Factorization

Given numbers are 824, 520, 438, 707

The list of prime factors of all numbers are

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 707 are 7 x 101

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

Steps to Calculate GCD of 824, 520, 438, 707 using LCM Formula

Given numbers are 824, 520, 438, 707

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

Apply this formula for all numbers.

Step1:

LCM(824, 520) = 53560

GCD(824, 520) = ( 824 x 520 ) / 53560

= 824 / 520

= 824


Step2:

LCM(8, 438) = 1752

GCD(8, 438) = ( 8 x 438 ) / 1752

= 8 / 438

= 8


Step3:

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

= 2 / 707

= 2


So, Greatest Common Divisor of 824, 520, 438, 707 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 824, 520, 438, 707

Given numbers are 824, 520, 438, 707
The greatest common divisor of numbers 824, 520, 438, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 520, 438, 707 is 1.

FAQs on GCD of 824, 520, 438, 707 Calculator

1. What is the GCD of 824, 520, 438, 707?

GCD of given numbers 824, 520, 438, 707 is 1


2. How to calculate the greatest common divisor of 824, 520, 438, 707?

We can find the highest common divisor of 824, 520, 438, 707 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, 520, 438, 707 i.e 1.


3. How can I use the GCD of 824, 520, 438, 707Calculator?

Out the numbers 824, 520, 438, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.