Online GCD Calculator is useful to find the GCD of 314, 608, 987, 980 quickly. Get the easiest ways to solve the greatest common divisor of 314, 608, 987, 980 i.e 1 in different methods as follows.
Given Input numbers are 314, 608, 987, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
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 (314, 608, 987, 980) = 1.
Given numbers are 314, 608, 987, 980
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 987 are 3 x 7 x 47
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 314, 608, 987, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 608) = 95456
GCD(314, 608) = ( 314 x 608 ) / 95456
= 314 / 608
= 314
Step2:
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
= 2 / 987
= 2
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 314, 608, 987, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 608, 987, 980
The greatest common divisor of numbers 314, 608, 987, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 608, 987, 980 is 1.
1. What is the GCD of 314, 608, 987, 980?
GCD of given numbers 314, 608, 987, 980 is 1
2. How to calculate the greatest common divisor of 314, 608, 987, 980?
We can find the highest common divisor of 314, 608, 987, 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 314, 608, 987, 980 i.e 1.
3. How can I use the GCD of 314, 608, 987, 980Calculator?
Out the numbers 314, 608, 987, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.