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GCD of 77, 41, 38, 18 Calculator

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


Online GCD Calculator is useful to find the GCD of 77, 41, 38, 18 quickly. Get the easiest ways to solve the greatest common divisor of 77, 41, 38, 18 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 77, 41, 38, 18 with Factoring?

Given Input numbers are 77, 41, 38, 18

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

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 41 :

The positive integer divisors of 41 that completely divides 41 are.

1, 41

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18


GCD of numbers is the greatest common divisor

So, the GCD (77, 41, 38, 18) = 1.

Find GCD of 77, 41, 38, 18 using Prime Factorization

Given numbers are 77, 41, 38, 18

The list of prime factors of all numbers are

Prime factors of 77 are 7 x 11

Prime factors of 41 are 41

Prime factors of 38 are 2 x 19

Prime factors of 18 are 2 x 3 x 3

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

Steps to Calculate GCD of 77, 41, 38, 18 using LCM Formula

Given numbers are 77, 41, 38, 18

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

Apply this formula for all numbers.

Step1:

LCM(77, 41) = 3157

GCD(77, 41) = ( 77 x 41 ) / 3157

= 77 / 41

= 77


Step2:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1


Step3:

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

= 1 / 18

= 1


So, Greatest Common Divisor of 77, 41, 38, 18 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 77, 41, 38, 18

Given numbers are 77, 41, 38, 18
The greatest common divisor of numbers 77, 41, 38, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 77, 41, 38, 18 is 1.

FAQs on GCD of 77, 41, 38, 18 Calculator

1. What is the GCD of 77, 41, 38, 18?

GCD of given numbers 77, 41, 38, 18 is 1


2. How to calculate the greatest common divisor of 77, 41, 38, 18?

We can find the highest common divisor of 77, 41, 38, 18 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 77, 41, 38, 18 i.e 1.


3. How can I use the GCD of 77, 41, 38, 18Calculator?

Out the numbers 77, 41, 38, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.