Online GCD Calculator is useful to find the GCD of 350, 680, 870, 468 quickly. Get the easiest ways to solve the greatest common divisor of 350, 680, 870, 468 i.e 2 in different methods as follows.
Given Input numbers are 350, 680, 870, 468
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (350, 680, 870, 468) = 2.
Given numbers are 350, 680, 870, 468
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 350, 680, 870, 468 is 2.
Given numbers are 350, 680, 870, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 680) = 23800
GCD(350, 680) = ( 350 x 680 ) / 23800
= 350 / 680
= 350
Step2:
LCM(10, 870) = 870
GCD(10, 870) = ( 10 x 870 ) / 870
= 10 / 870
= 10
Step3:
LCM(10, 468) = 2340
GCD(10, 468) = ( 10 x 468 ) / 2340
= 10 / 468
= 10
So, Greatest Common Divisor of 350, 680, 870, 468 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 680, 870, 468
The greatest common divisor of numbers 350, 680, 870, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 680, 870, 468 is 2.
1. What is the GCD of 350, 680, 870, 468?
GCD of given numbers 350, 680, 870, 468 is 2
2. How to calculate the greatest common divisor of 350, 680, 870, 468?
We can find the highest common divisor of 350, 680, 870, 468 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 350, 680, 870, 468 i.e 2.
3. How can I use the GCD of 350, 680, 870, 468Calculator?
Out the numbers 350, 680, 870, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.