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GCD of 513, 617, 152, 142 Calculator

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


Online GCD Calculator is useful to find the GCD of 513, 617, 152, 142 quickly. Get the easiest ways to solve the greatest common divisor of 513, 617, 152, 142 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 617, 152, 142 with Factoring?

Given Input numbers are 513, 617, 152, 142

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142


GCD of numbers is the greatest common divisor

So, the GCD (513, 617, 152, 142) = 1.

Find GCD of 513, 617, 152, 142 using Prime Factorization

Given numbers are 513, 617, 152, 142

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 617 are 617

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 142 are 2 x 71

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

Steps to Calculate GCD of 513, 617, 152, 142 using LCM Formula

Given numbers are 513, 617, 152, 142

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

Apply this formula for all numbers.

Step1:

LCM(513, 617) = 316521

GCD(513, 617) = ( 513 x 617 ) / 316521

= 513 / 617

= 513


Step2:

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

= 1 / 152

= 1


Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1


So, Greatest Common Divisor of 513, 617, 152, 142 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 617, 152, 142

Given numbers are 513, 617, 152, 142
The greatest common divisor of numbers 513, 617, 152, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 617, 152, 142 is 1.

FAQs on GCD of 513, 617, 152, 142 Calculator

1. What is the GCD of 513, 617, 152, 142?

GCD of given numbers 513, 617, 152, 142 is 1


2. How to calculate the greatest common divisor of 513, 617, 152, 142?

We can find the highest common divisor of 513, 617, 152, 142 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 513, 617, 152, 142 i.e 1.


3. How can I use the GCD of 513, 617, 152, 142Calculator?

Out the numbers 513, 617, 152, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.