Online GCD Calculator is useful to find the GCD of 312, 939, 741, 980 quickly. Get the easiest ways to solve the greatest common divisor of 312, 939, 741, 980 i.e 1 in different methods as follows.
Given Input numbers are 312, 939, 741, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
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
GCD of numbers is the greatest common divisor
So, the GCD (312, 939, 741, 980) = 1.
Given numbers are 312, 939, 741, 980
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 939 are 3 x 313
Prime factors of 741 are 3 x 13 x 19
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 939, 741, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 939) = 97656
GCD(312, 939) = ( 312 x 939 ) / 97656
= 312 / 939
= 312
Step2:
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
= 3 / 741
= 3
Step3:
LCM(3, 980) = 2940
GCD(3, 980) = ( 3 x 980 ) / 2940
= 3 / 980
= 3
So, Greatest Common Divisor of 312, 939, 741, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 939, 741, 980
The greatest common divisor of numbers 312, 939, 741, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 939, 741, 980 is 1.
1. What is the GCD of 312, 939, 741, 980?
GCD of given numbers 312, 939, 741, 980 is 1
2. How to calculate the greatest common divisor of 312, 939, 741, 980?
We can find the highest common divisor of 312, 939, 741, 980 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 312, 939, 741, 980 i.e 1.
3. How can I use the GCD of 312, 939, 741, 980Calculator?
Out the numbers 312, 939, 741, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.