GCD of 138, 378, 182, 901 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 138, 378, 182, 901 quickly. Get the easiest ways to solve the greatest common divisor of 138, 378, 182, 901 i.e 1 in different methods as follows.
Given Input numbers are 138, 378, 182, 901
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
GCD of numbers is the greatest common divisor
So, the GCD (138, 378, 182, 901) = 1.
Given numbers are 138, 378, 182, 901
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 182 are 2 x 7 x 13
Prime factors of 901 are 17 x 53
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 138, 378, 182, 901 using LCM Formula
Given numbers are 138, 378, 182, 901
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 378) = 8694
GCD(138, 378) = ( 138 x 378 ) / 8694
= 138 / 378
= 138
Step2:
LCM(6, 182) = 546
GCD(6, 182) = ( 6 x 182 ) / 546
= 6 / 182
= 6
Step3:
LCM(2, 901) = 1802
GCD(2, 901) = ( 2 x 901 ) / 1802
= 2 / 901
= 2
So, Greatest Common Divisor of 138, 378, 182, 901 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 138, 378, 182, 901
Given numbers are 138, 378, 182, 901
The greatest common divisor of numbers 138, 378, 182, 901 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 378, 182, 901 is 1.
FAQs on GCD of 138, 378, 182, 901 Calculator
1. What is the GCD of 138, 378, 182, 901?
GCD of given numbers 138, 378, 182, 901 is 1
2. How to calculate the greatest common divisor of 138, 378, 182, 901?
We can find the highest common divisor of 138, 378, 182, 901 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 138, 378, 182, 901 i.e 1.
3. How can I use the GCD of 138, 378, 182, 901Calculator?
Out the numbers 138, 378, 182, 901 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.