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GCD of 15, 63, 67, 74 Calculator

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


Online GCD Calculator is useful to find the GCD of 15, 63, 67, 74 quickly. Get the easiest ways to solve the greatest common divisor of 15, 63, 67, 74 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 15, 63, 67, 74 with Factoring?

Given Input numbers are 15, 63, 67, 74

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

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

Divisors of 67 :

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

1, 67

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74


GCD of numbers is the greatest common divisor

So, the GCD (15, 63, 67, 74) = 1.

Find GCD of 15, 63, 67, 74 using Prime Factorization

Given numbers are 15, 63, 67, 74

The list of prime factors of all numbers are

Prime factors of 15 are 3 x 5

Prime factors of 63 are 3 x 3 x 7

Prime factors of 67 are 67

Prime factors of 74 are 2 x 37

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

Steps to Calculate GCD of 15, 63, 67, 74 using LCM Formula

Given numbers are 15, 63, 67, 74

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

Apply this formula for all numbers.

Step1:

LCM(15, 63) = 315

GCD(15, 63) = ( 15 x 63 ) / 315

= 15 / 63

= 15


Step2:

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

= 3 / 67

= 3


Step3:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1


So, Greatest Common Divisor of 15, 63, 67, 74 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 15, 63, 67, 74

Given numbers are 15, 63, 67, 74
The greatest common divisor of numbers 15, 63, 67, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 15, 63, 67, 74 is 1.

FAQs on GCD of 15, 63, 67, 74 Calculator

1. What is the GCD of 15, 63, 67, 74?

GCD of given numbers 15, 63, 67, 74 is 1


2. How to calculate the greatest common divisor of 15, 63, 67, 74?

We can find the highest common divisor of 15, 63, 67, 74 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 15, 63, 67, 74 i.e 1.


3. How can I use the GCD of 15, 63, 67, 74Calculator?

Out the numbers 15, 63, 67, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.