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GCD of 538, 949, 67 Calculator

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


Online GCD Calculator is useful to find the GCD of 538, 949, 67 quickly. Get the easiest ways to solve the greatest common divisor of 538, 949, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 538, 949, 67 with Factoring?

Given Input numbers are 538, 949, 67

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67


GCD of numbers is the greatest common divisor

So, the GCD (538, 949, 67) = 1.

Find GCD of 538, 949, 67 using Prime Factorization

Given numbers are 538, 949, 67

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 949 are 13 x 73

Prime factors of 67 are 67

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

Steps to Calculate GCD of 538, 949, 67 using LCM Formula

Given numbers are 538, 949, 67

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

Apply this formula for all numbers.

Step1:

LCM(538, 949) = 510562

GCD(538, 949) = ( 538 x 949 ) / 510562

= 538 / 949

= 538


Step2:

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

= 1 / 67

= 1


So, Greatest Common Divisor of 538, 949, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 538, 949, 67

Given numbers are 538, 949, 67
The greatest common divisor of numbers 538, 949, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 949, 67 is 1.

FAQs on GCD of 538, 949, 67 Calculator

1. What is the GCD of 538, 949, 67?

GCD of given numbers 538, 949, 67 is 1


2. How to calculate the greatest common divisor of 538, 949, 67?

We can find the highest common divisor of 538, 949, 67 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 538, 949, 67 i.e 1.


3. How can I use the GCD of 538, 949, 67Calculator?

Out the numbers 538, 949, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.