Online GCD Calculator is useful to find the GCD of 462, 860, 980, 975 quickly. Get the easiest ways to solve the greatest common divisor of 462, 860, 980, 975 i.e 1 in different methods as follows.
Given Input numbers are 462, 860, 980, 975
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (462, 860, 980, 975) = 1.
Given numbers are 462, 860, 980, 975
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 860 are 2 x 2 x 5 x 43
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 975 are 3 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 860, 980, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 860) = 198660
GCD(462, 860) = ( 462 x 860 ) / 198660
= 462 / 860
= 462
Step2:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
Step3:
LCM(2, 975) = 1950
GCD(2, 975) = ( 2 x 975 ) / 1950
= 2 / 975
= 2
So, Greatest Common Divisor of 462, 860, 980, 975 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 860, 980, 975
The greatest common divisor of numbers 462, 860, 980, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 860, 980, 975 is 1.
1. What is the GCD of 462, 860, 980, 975?
GCD of given numbers 462, 860, 980, 975 is 1
2. How to calculate the greatest common divisor of 462, 860, 980, 975?
We can find the highest common divisor of 462, 860, 980, 975 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 462, 860, 980, 975 i.e 1.
3. How can I use the GCD of 462, 860, 980, 975Calculator?
Out the numbers 462, 860, 980, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.