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GCD of 144, 716, 820, 935 Calculator

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


Online GCD Calculator is useful to find the GCD of 144, 716, 820, 935 quickly. Get the easiest ways to solve the greatest common divisor of 144, 716, 820, 935 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 716, 820, 935 with Factoring?

Given Input numbers are 144, 716, 820, 935

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 935 :

The positive integer divisors of 935 that completely divides 935 are.

1, 5, 11, 17, 55, 85, 187, 935


GCD of numbers is the greatest common divisor

So, the GCD (144, 716, 820, 935) = 1.

Find GCD of 144, 716, 820, 935 using Prime Factorization

Given numbers are 144, 716, 820, 935

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 716 are 2 x 2 x 179

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 935 are 5 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 144, 716, 820, 935 using LCM Formula

Given numbers are 144, 716, 820, 935

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

Apply this formula for all numbers.

Step1:

LCM(144, 716) = 25776

GCD(144, 716) = ( 144 x 716 ) / 25776

= 144 / 716

= 144


Step2:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4


Step3:

LCM(4, 935) = 3740

GCD(4, 935) = ( 4 x 935 ) / 3740

= 4 / 935

= 4


So, Greatest Common Divisor of 144, 716, 820, 935 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 716, 820, 935

Given numbers are 144, 716, 820, 935
The greatest common divisor of numbers 144, 716, 820, 935 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 716, 820, 935 is 1.

FAQs on GCD of 144, 716, 820, 935 Calculator

1. What is the GCD of 144, 716, 820, 935?

GCD of given numbers 144, 716, 820, 935 is 1


2. How to calculate the greatest common divisor of 144, 716, 820, 935?

We can find the highest common divisor of 144, 716, 820, 935 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 144, 716, 820, 935 i.e 1.


3. How can I use the GCD of 144, 716, 820, 935Calculator?

Out the numbers 144, 716, 820, 935 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.