Online GCD Calculator is useful to find the GCD of 870, 480, 600, 824 quickly. Get the easiest ways to solve the greatest common divisor of 870, 480, 600, 824 i.e 2 in different methods as follows.
Given Input numbers are 870, 480, 600, 824
In the factoring method, we have to find the divisors of all numbers
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 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (870, 480, 600, 824) = 2.
Given numbers are 870, 480, 600, 824
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 870, 480, 600, 824 is 2.
Given numbers are 870, 480, 600, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 480) = 13920
GCD(870, 480) = ( 870 x 480 ) / 13920
= 870 / 480
= 870
Step2:
LCM(30, 600) = 600
GCD(30, 600) = ( 30 x 600 ) / 600
= 30 / 600
= 30
Step3:
LCM(30, 824) = 12360
GCD(30, 824) = ( 30 x 824 ) / 12360
= 30 / 824
= 30
So, Greatest Common Divisor of 870, 480, 600, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 480, 600, 824
The greatest common divisor of numbers 870, 480, 600, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 480, 600, 824 is 2.
1. What is the GCD of 870, 480, 600, 824?
GCD of given numbers 870, 480, 600, 824 is 2
2. How to calculate the greatest common divisor of 870, 480, 600, 824?
We can find the highest common divisor of 870, 480, 600, 824 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 870, 480, 600, 824 i.e 2.
3. How can I use the GCD of 870, 480, 600, 824Calculator?
Out the numbers 870, 480, 600, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.