Online GCD Calculator is useful to find the GCD of 460, 505, 975, 350 quickly. Get the easiest ways to solve the greatest common divisor of 460, 505, 975, 350 i.e 5 in different methods as follows.
Given Input numbers are 460, 505, 975, 350
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 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
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
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (460, 505, 975, 350) = 5.
Given numbers are 460, 505, 975, 350
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 505 are 5 x 101
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 460, 505, 975, 350 is 5.
Given numbers are 460, 505, 975, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 505) = 46460
GCD(460, 505) = ( 460 x 505 ) / 46460
= 460 / 505
= 460
Step2:
LCM(5, 975) = 975
GCD(5, 975) = ( 5 x 975 ) / 975
= 5 / 975
= 5
Step3:
LCM(5, 350) = 350
GCD(5, 350) = ( 5 x 350 ) / 350
= 5 / 350
= 5
So, Greatest Common Divisor of 460, 505, 975, 350 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 505, 975, 350
The greatest common divisor of numbers 460, 505, 975, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 505, 975, 350 is 5.
1. What is the GCD of 460, 505, 975, 350?
GCD of given numbers 460, 505, 975, 350 is 5
2. How to calculate the greatest common divisor of 460, 505, 975, 350?
We can find the highest common divisor of 460, 505, 975, 350 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, 505, 975, 350 i.e 5.
3. How can I use the GCD of 460, 505, 975, 350Calculator?
Out the numbers 460, 505, 975, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.