Online GCD Calculator is useful to find the GCD of 460, 960, 977, 338 quickly. Get the easiest ways to solve the greatest common divisor of 460, 960, 977, 338 i.e 1 in different methods as follows.
Given Input numbers are 460, 960, 977, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (460, 960, 977, 338) = 1.
Given numbers are 460, 960, 977, 338
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 977 are 977
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 960, 977, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 960) = 22080
GCD(460, 960) = ( 460 x 960 ) / 22080
= 460 / 960
= 460
Step2:
LCM(20, 977) = 19540
GCD(20, 977) = ( 20 x 977 ) / 19540
= 20 / 977
= 20
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 460, 960, 977, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 960, 977, 338
The greatest common divisor of numbers 460, 960, 977, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 960, 977, 338 is 1.
1. What is the GCD of 460, 960, 977, 338?
GCD of given numbers 460, 960, 977, 338 is 1
2. How to calculate the greatest common divisor of 460, 960, 977, 338?
We can find the highest common divisor of 460, 960, 977, 338 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 460, 960, 977, 338 i.e 1.
3. How can I use the GCD of 460, 960, 977, 338Calculator?
Out the numbers 460, 960, 977, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.