GCD of 146, 684, 961 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 146, 684, 961 quickly. Get the easiest ways to solve the greatest common divisor of 146, 684, 961 i.e 1 in different methods as follows.
Given Input numbers are 146, 684, 961
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
GCD of numbers is the greatest common divisor
So, the GCD (146, 684, 961) = 1.
Given numbers are 146, 684, 961
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 961 are 31 x 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 146, 684, 961 using LCM Formula
Given numbers are 146, 684, 961
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 684) = 49932
GCD(146, 684) = ( 146 x 684 ) / 49932
= 146 / 684
= 146
Step2:
LCM(2, 961) = 1922
GCD(2, 961) = ( 2 x 961 ) / 1922
= 2 / 961
= 2
So, Greatest Common Divisor of 146, 684, 961 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 146, 684, 961
Given numbers are 146, 684, 961
The greatest common divisor of numbers 146, 684, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 684, 961 is 1.
FAQs on GCD of 146, 684, 961 Calculator
1. What is the GCD of 146, 684, 961?
GCD of given numbers 146, 684, 961 is 1
2. How to calculate the greatest common divisor of 146, 684, 961?
We can find the highest common divisor of 146, 684, 961 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, 684, 961 i.e 1.
3. How can I use the GCD of 146, 684, 961Calculator?
Out the numbers 146, 684, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.