GCD of 146, 948, 21, 363 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 146, 948, 21, 363 quickly. Get the easiest ways to solve the greatest common divisor of 146, 948, 21, 363 i.e 1 in different methods as follows.
Given Input numbers are 146, 948, 21, 363
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (146, 948, 21, 363) = 1.
Given numbers are 146, 948, 21, 363
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 21 are 3 x 7
Prime factors of 363 are 3 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 146, 948, 21, 363 using LCM Formula
Given numbers are 146, 948, 21, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 948) = 69204
GCD(146, 948) = ( 146 x 948 ) / 69204
= 146 / 948
= 146
Step2:
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
= 2 / 21
= 2
Step3:
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
= 1 / 363
= 1
So, Greatest Common Divisor of 146, 948, 21, 363 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 146, 948, 21, 363
Given numbers are 146, 948, 21, 363
The greatest common divisor of numbers 146, 948, 21, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 948, 21, 363 is 1.
FAQs on GCD of 146, 948, 21, 363 Calculator
1. What is the GCD of 146, 948, 21, 363?
GCD of given numbers 146, 948, 21, 363 is 1
2. How to calculate the greatest common divisor of 146, 948, 21, 363?
We can find the highest common divisor of 146, 948, 21, 363 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 146, 948, 21, 363 i.e 1.
3. How can I use the GCD of 146, 948, 21, 363Calculator?
Out the numbers 146, 948, 21, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.