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 168, 712, 740, 284 Calculator

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


Online GCD Calculator is useful to find the GCD of 168, 712, 740, 284 quickly. Get the easiest ways to solve the greatest common divisor of 168, 712, 740, 284 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 168, 712, 740, 284 with Factoring?

Given Input numbers are 168, 712, 740, 284

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284


GCD of numbers is the greatest common divisor

So, the GCD (168, 712, 740, 284) = 4.

Find GCD of 168, 712, 740, 284 using Prime Factorization

Given numbers are 168, 712, 740, 284

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

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

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 22

Therefore, GCD of 168, 712, 740, 284 is 4.

Steps to Calculate GCD of 168, 712, 740, 284 using LCM Formula

Given numbers are 168, 712, 740, 284

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

Apply this formula for all numbers.

Step1:

LCM(168, 712) = 14952

GCD(168, 712) = ( 168 x 712 ) / 14952

= 168 / 712

= 168


Step2:

LCM(8, 740) = 1480

GCD(8, 740) = ( 8 x 740 ) / 1480

= 8 / 740

= 8


Step3:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4


So, Greatest Common Divisor of 168, 712, 740, 284 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 168, 712, 740, 284

Given numbers are 168, 712, 740, 284
The greatest common divisor of numbers 168, 712, 740, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 712, 740, 284 is 4.

FAQs on GCD of 168, 712, 740, 284 Calculator

1. What is the GCD of 168, 712, 740, 284?

GCD of given numbers 168, 712, 740, 284 is 4


2. How to calculate the greatest common divisor of 168, 712, 740, 284?

We can find the highest common divisor of 168, 712, 740, 284 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 168, 712, 740, 284 i.e 4.


3. How can I use the GCD of 168, 712, 740, 284Calculator?

Out the numbers 168, 712, 740, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.