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 614, 738, 840, 400 Calculator

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


Online GCD Calculator is useful to find the GCD of 614, 738, 840, 400 quickly. Get the easiest ways to solve the greatest common divisor of 614, 738, 840, 400 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 614, 738, 840, 400 with Factoring?

Given Input numbers are 614, 738, 840, 400

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400


GCD of numbers is the greatest common divisor

So, the GCD (614, 738, 840, 400) = 2.

Find GCD of 614, 738, 840, 400 using Prime Factorization

Given numbers are 614, 738, 840, 400

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 614, 738, 840, 400 is 2.

Steps to Calculate GCD of 614, 738, 840, 400 using LCM Formula

Given numbers are 614, 738, 840, 400

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

Apply this formula for all numbers.

Step1:

LCM(614, 738) = 226566

GCD(614, 738) = ( 614 x 738 ) / 226566

= 614 / 738

= 614


Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2


Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2


So, Greatest Common Divisor of 614, 738, 840, 400 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 614, 738, 840, 400

Given numbers are 614, 738, 840, 400
The greatest common divisor of numbers 614, 738, 840, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 738, 840, 400 is 2.

FAQs on GCD of 614, 738, 840, 400 Calculator

1. What is the GCD of 614, 738, 840, 400?

GCD of given numbers 614, 738, 840, 400 is 2


2. How to calculate the greatest common divisor of 614, 738, 840, 400?

We can find the highest common divisor of 614, 738, 840, 400 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 614, 738, 840, 400 i.e 2.


3. How can I use the GCD of 614, 738, 840, 400Calculator?

Out the numbers 614, 738, 840, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.