GCD of 359, 407, 764, 106 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 359, 407, 764, 106 quickly. Get the easiest ways to solve the greatest common divisor of 359, 407, 764, 106 i.e 1 in different methods as follows.
Given Input numbers are 359, 407, 764, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (359, 407, 764, 106) = 1.
Given numbers are 359, 407, 764, 106
The list of prime factors of all numbers are
Prime factors of 359 are 359
Prime factors of 407 are 11 x 37
Prime factors of 764 are 2 x 2 x 191
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 359, 407, 764, 106 using LCM Formula
Given numbers are 359, 407, 764, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(359, 407) = 146113
GCD(359, 407) = ( 359 x 407 ) / 146113
= 359 / 407
= 359
Step2:
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
= 1 / 764
= 1
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 359, 407, 764, 106 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 359, 407, 764, 106
Given numbers are 359, 407, 764, 106
The greatest common divisor of numbers 359, 407, 764, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 359, 407, 764, 106 is 1.
FAQs on GCD of 359, 407, 764, 106 Calculator
1. What is the GCD of 359, 407, 764, 106?
GCD of given numbers 359, 407, 764, 106 is 1
2. How to calculate the greatest common divisor of 359, 407, 764, 106?
We can find the highest common divisor of 359, 407, 764, 106 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 359, 407, 764, 106 i.e 1.
3. How can I use the GCD of 359, 407, 764, 106Calculator?
Out the numbers 359, 407, 764, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.