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GCD of 172, 632, 144, 577 Calculator

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


Online GCD Calculator is useful to find the GCD of 172, 632, 144, 577 quickly. Get the easiest ways to solve the greatest common divisor of 172, 632, 144, 577 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 172, 632, 144, 577 with Factoring?

Given Input numbers are 172, 632, 144, 577

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

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 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577


GCD of numbers is the greatest common divisor

So, the GCD (172, 632, 144, 577) = 1.

Find GCD of 172, 632, 144, 577 using Prime Factorization

Given numbers are 172, 632, 144, 577

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 632 are 2 x 2 x 2 x 79

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

Prime factors of 577 are 577

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

Steps to Calculate GCD of 172, 632, 144, 577 using LCM Formula

Given numbers are 172, 632, 144, 577

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

Apply this formula for all numbers.

Step1:

LCM(172, 632) = 27176

GCD(172, 632) = ( 172 x 632 ) / 27176

= 172 / 632

= 172


Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4


Step3:

LCM(4, 577) = 2308

GCD(4, 577) = ( 4 x 577 ) / 2308

= 4 / 577

= 4


So, Greatest Common Divisor of 172, 632, 144, 577 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 172, 632, 144, 577

Given numbers are 172, 632, 144, 577
The greatest common divisor of numbers 172, 632, 144, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 632, 144, 577 is 1.

FAQs on GCD of 172, 632, 144, 577 Calculator

1. What is the GCD of 172, 632, 144, 577?

GCD of given numbers 172, 632, 144, 577 is 1


2. How to calculate the greatest common divisor of 172, 632, 144, 577?

We can find the highest common divisor of 172, 632, 144, 577 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 172, 632, 144, 577 i.e 1.


3. How can I use the GCD of 172, 632, 144, 577Calculator?

Out the numbers 172, 632, 144, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.