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GCD of 474, 133, 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 474, 133, 67 quickly. Get the easiest ways to solve the greatest common divisor of 474, 133, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 474, 133, 67 with Factoring?

Given Input numbers are 474, 133, 67

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

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 (474, 133, 67) = 1.

Find GCD of 474, 133, 67 using Prime Factorization

Given numbers are 474, 133, 67

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 133 are 7 x 19

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 474, 133, 67 using LCM Formula

Given numbers are 474, 133, 67

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

Apply this formula for all numbers.

Step1:

LCM(474, 133) = 63042

GCD(474, 133) = ( 474 x 133 ) / 63042

= 474 / 133

= 474


Step2:

LCM(1, 67) = 67

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

= 1 / 67

= 1


So, Greatest Common Divisor of 474, 133, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 474, 133, 67

Given numbers are 474, 133, 67
The greatest common divisor of numbers 474, 133, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 133, 67 is 1.

FAQs on GCD of 474, 133, 67 Calculator

1. What is the GCD of 474, 133, 67?

GCD of given numbers 474, 133, 67 is 1


2. How to calculate the greatest common divisor of 474, 133, 67?

We can find the highest common divisor of 474, 133, 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 474, 133, 67 i.e 1.


3. How can I use the GCD of 474, 133, 67Calculator?

Out the numbers 474, 133, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.