GCD of 748, 369, 67 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 748, 369, 67 quickly. Get the easiest ways to solve the greatest common divisor of 748, 369, 67 i.e 1 in different methods as follows.
Given Input numbers are 748, 369, 67
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
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 (748, 369, 67) = 1.
Given numbers are 748, 369, 67
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 369 are 3 x 3 x 41
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 748, 369, 67 using LCM Formula
Given numbers are 748, 369, 67
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 369) = 276012
GCD(748, 369) = ( 748 x 369 ) / 276012
= 748 / 369
= 748
Step2:
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
= 1 / 67
= 1
So, Greatest Common Divisor of 748, 369, 67 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 748, 369, 67
Given numbers are 748, 369, 67
The greatest common divisor of numbers 748, 369, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 369, 67 is 1.
FAQs on GCD of 748, 369, 67 Calculator
1. What is the GCD of 748, 369, 67?
GCD of given numbers 748, 369, 67 is 1
2. How to calculate the greatest common divisor of 748, 369, 67?
We can find the highest common divisor of 748, 369, 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 748, 369, 67 i.e 1.
3. How can I use the GCD of 748, 369, 67Calculator?
Out the numbers 748, 369, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.