Online GCD Calculator is useful to find the GCD of 978, 508, 661, 704 quickly. Get the easiest ways to solve the greatest common divisor of 978, 508, 661, 704 i.e 1 in different methods as follows.
Given Input numbers are 978, 508, 661, 704
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 661 :
The positive integer divisors of 661 that completely divides 661 are.
1, 661
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (978, 508, 661, 704) = 1.
Given numbers are 978, 508, 661, 704
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 508 are 2 x 2 x 127
Prime factors of 661 are 661
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 978, 508, 661, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 508) = 248412
GCD(978, 508) = ( 978 x 508 ) / 248412
= 978 / 508
= 978
Step2:
LCM(2, 661) = 1322
GCD(2, 661) = ( 2 x 661 ) / 1322
= 2 / 661
= 2
Step3:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
So, Greatest Common Divisor of 978, 508, 661, 704 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 508, 661, 704
The greatest common divisor of numbers 978, 508, 661, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 508, 661, 704 is 1.
1. What is the GCD of 978, 508, 661, 704?
GCD of given numbers 978, 508, 661, 704 is 1
2. How to calculate the greatest common divisor of 978, 508, 661, 704?
We can find the highest common divisor of 978, 508, 661, 704 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, 508, 661, 704 i.e 1.
3. How can I use the GCD of 978, 508, 661, 704Calculator?
Out the numbers 978, 508, 661, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.