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GCD of 145, 362, 456, 716 Calculator

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


Online GCD Calculator is useful to find the GCD of 145, 362, 456, 716 quickly. Get the easiest ways to solve the greatest common divisor of 145, 362, 456, 716 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 145, 362, 456, 716 with Factoring?

Given Input numbers are 145, 362, 456, 716

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 716 :

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

1, 2, 4, 179, 358, 716


GCD of numbers is the greatest common divisor

So, the GCD (145, 362, 456, 716) = 1.

Find GCD of 145, 362, 456, 716 using Prime Factorization

Given numbers are 145, 362, 456, 716

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 362 are 2 x 181

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 716 are 2 x 2 x 179

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

Steps to Calculate GCD of 145, 362, 456, 716 using LCM Formula

Given numbers are 145, 362, 456, 716

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

Apply this formula for all numbers.

Step1:

LCM(145, 362) = 52490

GCD(145, 362) = ( 145 x 362 ) / 52490

= 145 / 362

= 145


Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1


Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1


So, Greatest Common Divisor of 145, 362, 456, 716 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 145, 362, 456, 716

Given numbers are 145, 362, 456, 716
The greatest common divisor of numbers 145, 362, 456, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 362, 456, 716 is 1.

FAQs on GCD of 145, 362, 456, 716 Calculator

1. What is the GCD of 145, 362, 456, 716?

GCD of given numbers 145, 362, 456, 716 is 1


2. How to calculate the greatest common divisor of 145, 362, 456, 716?

We can find the highest common divisor of 145, 362, 456, 716 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 145, 362, 456, 716 i.e 1.


3. How can I use the GCD of 145, 362, 456, 716Calculator?

Out the numbers 145, 362, 456, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.