GCD of 867, 746, 398 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 867, 746, 398 quickly. Get the easiest ways to solve the greatest common divisor of 867, 746, 398 i.e 1 in different methods as follows.
Given Input numbers are 867, 746, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (867, 746, 398) = 1.
Given numbers are 867, 746, 398
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 746 are 2 x 373
Prime factors of 398 are 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 867, 746, 398 using LCM Formula
Given numbers are 867, 746, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 746) = 646782
GCD(867, 746) = ( 867 x 746 ) / 646782
= 867 / 746
= 867
Step2:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
So, Greatest Common Divisor of 867, 746, 398 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 867, 746, 398
Given numbers are 867, 746, 398
The greatest common divisor of numbers 867, 746, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 746, 398 is 1.
FAQs on GCD of 867, 746, 398 Calculator
1. What is the GCD of 867, 746, 398?
GCD of given numbers 867, 746, 398 is 1
2. How to calculate the greatest common divisor of 867, 746, 398?
We can find the highest common divisor of 867, 746, 398 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 867, 746, 398 i.e 1.
3. How can I use the GCD of 867, 746, 398Calculator?
Out the numbers 867, 746, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.