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GCD of 134, 506, 993, 561 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 506, 993, 561 quickly. Get the easiest ways to solve the greatest common divisor of 134, 506, 993, 561 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 506, 993, 561 with Factoring?

Given Input numbers are 134, 506, 993, 561

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561


GCD of numbers is the greatest common divisor

So, the GCD (134, 506, 993, 561) = 1.

Find GCD of 134, 506, 993, 561 using Prime Factorization

Given numbers are 134, 506, 993, 561

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 506 are 2 x 11 x 23

Prime factors of 993 are 3 x 331

Prime factors of 561 are 3 x 11 x 17

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

Steps to Calculate GCD of 134, 506, 993, 561 using LCM Formula

Given numbers are 134, 506, 993, 561

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

Apply this formula for all numbers.

Step1:

LCM(134, 506) = 33902

GCD(134, 506) = ( 134 x 506 ) / 33902

= 134 / 506

= 134


Step2:

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

= 2 / 993

= 2


Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1


So, Greatest Common Divisor of 134, 506, 993, 561 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 506, 993, 561

Given numbers are 134, 506, 993, 561
The greatest common divisor of numbers 134, 506, 993, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 506, 993, 561 is 1.

FAQs on GCD of 134, 506, 993, 561 Calculator

1. What is the GCD of 134, 506, 993, 561?

GCD of given numbers 134, 506, 993, 561 is 1


2. How to calculate the greatest common divisor of 134, 506, 993, 561?

We can find the highest common divisor of 134, 506, 993, 561 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 134, 506, 993, 561 i.e 1.


3. How can I use the GCD of 134, 506, 993, 561Calculator?

Out the numbers 134, 506, 993, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.