GCD of 978, 108, 987, 434 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 978, 108, 987, 434 quickly. Get the easiest ways to solve the greatest common divisor of 978, 108, 987, 434 i.e 1 in different methods as follows.
Given Input numbers are 978, 108, 987, 434
In the factoring method, we have to find the divisors of all numbers
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (978, 108, 987, 434) = 1.
Given numbers are 978, 108, 987, 434
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 987 are 3 x 7 x 47
Prime factors of 434 are 2 x 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 978, 108, 987, 434 using LCM Formula
Given numbers are 978, 108, 987, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 108) = 17604
GCD(978, 108) = ( 978 x 108 ) / 17604
= 978 / 108
= 978
Step2:
LCM(6, 987) = 1974
GCD(6, 987) = ( 6 x 987 ) / 1974
= 6 / 987
= 6
Step3:
LCM(3, 434) = 1302
GCD(3, 434) = ( 3 x 434 ) / 1302
= 3 / 434
= 3
So, Greatest Common Divisor of 978, 108, 987, 434 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 978, 108, 987, 434
Given numbers are 978, 108, 987, 434
The greatest common divisor of numbers 978, 108, 987, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 108, 987, 434 is 1.
FAQs on GCD of 978, 108, 987, 434 Calculator
1. What is the GCD of 978, 108, 987, 434?
GCD of given numbers 978, 108, 987, 434 is 1
2. How to calculate the greatest common divisor of 978, 108, 987, 434?
We can find the highest common divisor of 978, 108, 987, 434 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 978, 108, 987, 434 i.e 1.
3. How can I use the GCD of 978, 108, 987, 434Calculator?
Out the numbers 978, 108, 987, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.