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GCD of 234, 453, 720, 702 Calculator

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


Online GCD Calculator is useful to find the GCD of 234, 453, 720, 702 quickly. Get the easiest ways to solve the greatest common divisor of 234, 453, 720, 702 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 234, 453, 720, 702 with Factoring?

Given Input numbers are 234, 453, 720, 702

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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


GCD of numbers is the greatest common divisor

So, the GCD (234, 453, 720, 702) = 3.

Find GCD of 234, 453, 720, 702 using Prime Factorization

Given numbers are 234, 453, 720, 702

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 453 are 3 x 151

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 31

Therefore, GCD of 234, 453, 720, 702 is 3.

Steps to Calculate GCD of 234, 453, 720, 702 using LCM Formula

Given numbers are 234, 453, 720, 702

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

Apply this formula for all numbers.

Step1:

LCM(234, 453) = 35334

GCD(234, 453) = ( 234 x 453 ) / 35334

= 234 / 453

= 234


Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3


Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3


So, Greatest Common Divisor of 234, 453, 720, 702 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 234, 453, 720, 702

Given numbers are 234, 453, 720, 702
The greatest common divisor of numbers 234, 453, 720, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 453, 720, 702 is 3.

FAQs on GCD of 234, 453, 720, 702 Calculator

1. What is the GCD of 234, 453, 720, 702?

GCD of given numbers 234, 453, 720, 702 is 3


2. How to calculate the greatest common divisor of 234, 453, 720, 702?

We can find the highest common divisor of 234, 453, 720, 702 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 234, 453, 720, 702 i.e 3.


3. How can I use the GCD of 234, 453, 720, 702Calculator?

Out the numbers 234, 453, 720, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.