Online GCD Calculator is useful to find the GCD of 980, 794, 164, 105 quickly. Get the easiest ways to solve the greatest common divisor of 980, 794, 164, 105 i.e 1 in different methods as follows.
Given Input numbers are 980, 794, 164, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (980, 794, 164, 105) = 1.
Given numbers are 980, 794, 164, 105
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 794 are 2 x 397
Prime factors of 164 are 2 x 2 x 41
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 980, 794, 164, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 794) = 389060
GCD(980, 794) = ( 980 x 794 ) / 389060
= 980 / 794
= 980
Step2:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
Step3:
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
= 2 / 105
= 2
So, Greatest Common Divisor of 980, 794, 164, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 794, 164, 105
The greatest common divisor of numbers 980, 794, 164, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 794, 164, 105 is 1.
1. What is the GCD of 980, 794, 164, 105?
GCD of given numbers 980, 794, 164, 105 is 1
2. How to calculate the greatest common divisor of 980, 794, 164, 105?
We can find the highest common divisor of 980, 794, 164, 105 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 980, 794, 164, 105 i.e 1.
3. How can I use the GCD of 980, 794, 164, 105Calculator?
Out the numbers 980, 794, 164, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.