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 752, 904, 702, 418 Calculator

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


Online GCD Calculator is useful to find the GCD of 752, 904, 702, 418 quickly. Get the easiest ways to solve the greatest common divisor of 752, 904, 702, 418 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 752, 904, 702, 418 with Factoring?

Given Input numbers are 752, 904, 702, 418

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418


GCD of numbers is the greatest common divisor

So, the GCD (752, 904, 702, 418) = 2.

Find GCD of 752, 904, 702, 418 using Prime Factorization

Given numbers are 752, 904, 702, 418

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 21

Therefore, GCD of 752, 904, 702, 418 is 2.

Steps to Calculate GCD of 752, 904, 702, 418 using LCM Formula

Given numbers are 752, 904, 702, 418

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

Apply this formula for all numbers.

Step1:

LCM(752, 904) = 84976

GCD(752, 904) = ( 752 x 904 ) / 84976

= 752 / 904

= 752


Step2:

LCM(8, 702) = 2808

GCD(8, 702) = ( 8 x 702 ) / 2808

= 8 / 702

= 8


Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2


So, Greatest Common Divisor of 752, 904, 702, 418 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 752, 904, 702, 418

Given numbers are 752, 904, 702, 418
The greatest common divisor of numbers 752, 904, 702, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 904, 702, 418 is 2.

FAQs on GCD of 752, 904, 702, 418 Calculator

1. What is the GCD of 752, 904, 702, 418?

GCD of given numbers 752, 904, 702, 418 is 2


2. How to calculate the greatest common divisor of 752, 904, 702, 418?

We can find the highest common divisor of 752, 904, 702, 418 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 752, 904, 702, 418 i.e 2.


3. How can I use the GCD of 752, 904, 702, 418Calculator?

Out the numbers 752, 904, 702, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.