Online GCD Calculator is useful to find the GCD of 976, 978, 432, 441 quickly. Get the easiest ways to solve the greatest common divisor of 976, 978, 432, 441 i.e 1 in different methods as follows.
Given Input numbers are 976, 978, 432, 441
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (976, 978, 432, 441) = 1.
Given numbers are 976, 978, 432, 441
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 978 are 2 x 3 x 163
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 441 are 3 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 976, 978, 432, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 978) = 477264
GCD(976, 978) = ( 976 x 978 ) / 477264
= 976 / 978
= 976
Step2:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
Step3:
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
= 2 / 441
= 2
So, Greatest Common Divisor of 976, 978, 432, 441 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 978, 432, 441
The greatest common divisor of numbers 976, 978, 432, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 978, 432, 441 is 1.
1. What is the GCD of 976, 978, 432, 441?
GCD of given numbers 976, 978, 432, 441 is 1
2. How to calculate the greatest common divisor of 976, 978, 432, 441?
We can find the highest common divisor of 976, 978, 432, 441 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 976, 978, 432, 441 i.e 1.
3. How can I use the GCD of 976, 978, 432, 441Calculator?
Out the numbers 976, 978, 432, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.