Online GCD Calculator is useful to find the GCD of 660, 870, 426, 380 quickly. Get the easiest ways to solve the greatest common divisor of 660, 870, 426, 380 i.e 2 in different methods as follows.
Given Input numbers are 660, 870, 426, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (660, 870, 426, 380) = 2.
Given numbers are 660, 870, 426, 380
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 426 are 2 x 3 x 71
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 660, 870, 426, 380 is 2.
Given numbers are 660, 870, 426, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 870) = 19140
GCD(660, 870) = ( 660 x 870 ) / 19140
= 660 / 870
= 660
Step2:
LCM(30, 426) = 2130
GCD(30, 426) = ( 30 x 426 ) / 2130
= 30 / 426
= 30
Step3:
LCM(6, 380) = 1140
GCD(6, 380) = ( 6 x 380 ) / 1140
= 6 / 380
= 6
So, Greatest Common Divisor of 660, 870, 426, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 870, 426, 380
The greatest common divisor of numbers 660, 870, 426, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 870, 426, 380 is 2.
1. What is the GCD of 660, 870, 426, 380?
GCD of given numbers 660, 870, 426, 380 is 2
2. How to calculate the greatest common divisor of 660, 870, 426, 380?
We can find the highest common divisor of 660, 870, 426, 380 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 660, 870, 426, 380 i.e 2.
3. How can I use the GCD of 660, 870, 426, 380Calculator?
Out the numbers 660, 870, 426, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.