Online GCD Calculator is useful to find the GCD of 360, 420, 846, 830 quickly. Get the easiest ways to solve the greatest common divisor of 360, 420, 846, 830 i.e 2 in different methods as follows.
Given Input numbers are 360, 420, 846, 830
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
GCD of numbers is the greatest common divisor
So, the GCD (360, 420, 846, 830) = 2.
Given numbers are 360, 420, 846, 830
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 830 are 2 x 5 x 83
The highest common occurrence is 21
Therefore, GCD of 360, 420, 846, 830 is 2.
Given numbers are 360, 420, 846, 830
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 420) = 2520
GCD(360, 420) = ( 360 x 420 ) / 2520
= 360 / 420
= 360
Step2:
LCM(60, 846) = 8460
GCD(60, 846) = ( 60 x 846 ) / 8460
= 60 / 846
= 60
Step3:
LCM(6, 830) = 2490
GCD(6, 830) = ( 6 x 830 ) / 2490
= 6 / 830
= 6
So, Greatest Common Divisor of 360, 420, 846, 830 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 420, 846, 830
The greatest common divisor of numbers 360, 420, 846, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 420, 846, 830 is 2.
1. What is the GCD of 360, 420, 846, 830?
GCD of given numbers 360, 420, 846, 830 is 2
2. How to calculate the greatest common divisor of 360, 420, 846, 830?
We can find the highest common divisor of 360, 420, 846, 830 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 360, 420, 846, 830 i.e 2.
3. How can I use the GCD of 360, 420, 846, 830Calculator?
Out the numbers 360, 420, 846, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.