Online GCD Calculator is useful to find the GCD of 980, 314, 988, 209 quickly. Get the easiest ways to solve the greatest common divisor of 980, 314, 988, 209 i.e 1 in different methods as follows.
Given Input numbers are 980, 314, 988, 209
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
GCD of numbers is the greatest common divisor
So, the GCD (980, 314, 988, 209) = 1.
Given numbers are 980, 314, 988, 209
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 314 are 2 x 157
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 209 are 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 980, 314, 988, 209
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 314) = 153860
GCD(980, 314) = ( 980 x 314 ) / 153860
= 980 / 314
= 980
Step2:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
Step3:
LCM(2, 209) = 418
GCD(2, 209) = ( 2 x 209 ) / 418
= 2 / 209
= 2
So, Greatest Common Divisor of 980, 314, 988, 209 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 314, 988, 209
The greatest common divisor of numbers 980, 314, 988, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 314, 988, 209 is 1.
1. What is the GCD of 980, 314, 988, 209?
GCD of given numbers 980, 314, 988, 209 is 1
2. How to calculate the greatest common divisor of 980, 314, 988, 209?
We can find the highest common divisor of 980, 314, 988, 209 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, 314, 988, 209 i.e 1.
3. How can I use the GCD of 980, 314, 988, 209Calculator?
Out the numbers 980, 314, 988, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.