GCD of 225, 150, 141, 748 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 225, 150, 141, 748 quickly. Get the easiest ways to solve the greatest common divisor of 225, 150, 141, 748 i.e 1 in different methods as follows.
Given Input numbers are 225, 150, 141, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
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
GCD of numbers is the greatest common divisor
So, the GCD (225, 150, 141, 748) = 1.
Given numbers are 225, 150, 141, 748
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 141 are 3 x 47
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 225, 150, 141, 748 using LCM Formula
Given numbers are 225, 150, 141, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 150) = 450
GCD(225, 150) = ( 225 x 150 ) / 450
= 225 / 150
= 225
Step2:
LCM(75, 141) = 3525
GCD(75, 141) = ( 75 x 141 ) / 3525
= 75 / 141
= 75
Step3:
LCM(3, 748) = 2244
GCD(3, 748) = ( 3 x 748 ) / 2244
= 3 / 748
= 3
So, Greatest Common Divisor of 225, 150, 141, 748 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 225, 150, 141, 748
Given numbers are 225, 150, 141, 748
The greatest common divisor of numbers 225, 150, 141, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 150, 141, 748 is 1.
FAQs on GCD of 225, 150, 141, 748 Calculator
1. What is the GCD of 225, 150, 141, 748?
GCD of given numbers 225, 150, 141, 748 is 1
2. How to calculate the greatest common divisor of 225, 150, 141, 748?
We can find the highest common divisor of 225, 150, 141, 748 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 225, 150, 141, 748 i.e 1.
3. How can I use the GCD of 225, 150, 141, 748Calculator?
Out the numbers 225, 150, 141, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.