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GCD of 75, 33, 48, 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 75, 33, 48, 67 quickly. Get the easiest ways to solve the greatest common divisor of 75, 33, 48, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 75, 33, 48, 67 with Factoring?

Given Input numbers are 75, 33, 48, 67

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

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 (75, 33, 48, 67) = 1.

Find GCD of 75, 33, 48, 67 using Prime Factorization

Given numbers are 75, 33, 48, 67

The list of prime factors of all numbers are

Prime factors of 75 are 3 x 5 x 5

Prime factors of 33 are 3 x 11

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

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 75, 33, 48, 67 using LCM Formula

Given numbers are 75, 33, 48, 67

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

Apply this formula for all numbers.

Step1:

LCM(75, 33) = 825

GCD(75, 33) = ( 75 x 33 ) / 825

= 75 / 33

= 75


Step2:

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

= 3 / 48

= 3


Step3:

LCM(3, 67) = 201

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

= 3 / 67

= 3


So, Greatest Common Divisor of 75, 33, 48, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 75, 33, 48, 67

Given numbers are 75, 33, 48, 67
The greatest common divisor of numbers 75, 33, 48, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 75, 33, 48, 67 is 1.

FAQs on GCD of 75, 33, 48, 67 Calculator

1. What is the GCD of 75, 33, 48, 67?

GCD of given numbers 75, 33, 48, 67 is 1


2. How to calculate the greatest common divisor of 75, 33, 48, 67?

We can find the highest common divisor of 75, 33, 48, 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 75, 33, 48, 67 i.e 1.


3. How can I use the GCD of 75, 33, 48, 67Calculator?

Out the numbers 75, 33, 48, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.