LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 336, 506, 138, 177 Calculator

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


Online GCD Calculator is useful to find the GCD of 336, 506, 138, 177 quickly. Get the easiest ways to solve the greatest common divisor of 336, 506, 138, 177 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 506, 138, 177 with Factoring?

Given Input numbers are 336, 506, 138, 177

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 506 :

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

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177


GCD of numbers is the greatest common divisor

So, the GCD (336, 506, 138, 177) = 1.

Find GCD of 336, 506, 138, 177 using Prime Factorization

Given numbers are 336, 506, 138, 177

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 506 are 2 x 11 x 23

Prime factors of 138 are 2 x 3 x 23

Prime factors of 177 are 3 x 59

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

Steps to Calculate GCD of 336, 506, 138, 177 using LCM Formula

Given numbers are 336, 506, 138, 177

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

Apply this formula for all numbers.

Step1:

LCM(336, 506) = 85008

GCD(336, 506) = ( 336 x 506 ) / 85008

= 336 / 506

= 336


Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2


Step3:

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

= 2 / 177

= 2


So, Greatest Common Divisor of 336, 506, 138, 177 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 506, 138, 177

Given numbers are 336, 506, 138, 177
The greatest common divisor of numbers 336, 506, 138, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 506, 138, 177 is 1.

FAQs on GCD of 336, 506, 138, 177 Calculator

1. What is the GCD of 336, 506, 138, 177?

GCD of given numbers 336, 506, 138, 177 is 1


2. How to calculate the greatest common divisor of 336, 506, 138, 177?

We can find the highest common divisor of 336, 506, 138, 177 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 336, 506, 138, 177 i.e 1.


3. How can I use the GCD of 336, 506, 138, 177Calculator?

Out the numbers 336, 506, 138, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.