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 318, 700, 824 Calculator

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


Online GCD Calculator is useful to find the GCD of 318, 700, 824 quickly. Get the easiest ways to solve the greatest common divisor of 318, 700, 824 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 318, 700, 824 with Factoring?

Given Input numbers are 318, 700, 824

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 824 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (318, 700, 824) = 2.

Find GCD of 318, 700, 824 using Prime Factorization

Given numbers are 318, 700, 824

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

The highest common occurrence is 21

Therefore, GCD of 318, 700, 824 is 2.

Steps to Calculate GCD of 318, 700, 824 using LCM Formula

Given numbers are 318, 700, 824

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

Apply this formula for all numbers.

Step1:

LCM(318, 700) = 111300

GCD(318, 700) = ( 318 x 700 ) / 111300

= 318 / 700

= 318


Step2:

LCM(2, 824) = 824

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

= 2 / 824

= 2


So, Greatest Common Divisor of 318, 700, 824 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 318, 700, 824

Given numbers are 318, 700, 824
The greatest common divisor of numbers 318, 700, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 700, 824 is 2.

FAQs on GCD of 318, 700, 824 Calculator

1. What is the GCD of 318, 700, 824?

GCD of given numbers 318, 700, 824 is 2


2. How to calculate the greatest common divisor of 318, 700, 824?

We can find the highest common divisor of 318, 700, 824 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 318, 700, 824 i.e 2.


3. How can I use the GCD of 318, 700, 824Calculator?

Out the numbers 318, 700, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.