Online GCD Calculator is useful to find the GCD of 690, 920, 580, 380 quickly. Get the easiest ways to solve the greatest common divisor of 690, 920, 580, 380 i.e 10 in different methods as follows.
Given Input numbers are 690, 920, 580, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
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 (690, 920, 580, 380) = 10.
Given numbers are 690, 920, 580, 380
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21 x 51
Therefore, GCD of 690, 920, 580, 380 is 10.
Given numbers are 690, 920, 580, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 920) = 2760
GCD(690, 920) = ( 690 x 920 ) / 2760
= 690 / 920
= 690
Step2:
LCM(230, 580) = 13340
GCD(230, 580) = ( 230 x 580 ) / 13340
= 230 / 580
= 230
Step3:
LCM(10, 380) = 380
GCD(10, 380) = ( 10 x 380 ) / 380
= 10 / 380
= 10
So, Greatest Common Divisor of 690, 920, 580, 380 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 920, 580, 380
The greatest common divisor of numbers 690, 920, 580, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 920, 580, 380 is 10.
1. What is the GCD of 690, 920, 580, 380?
GCD of given numbers 690, 920, 580, 380 is 10
2. How to calculate the greatest common divisor of 690, 920, 580, 380?
We can find the highest common divisor of 690, 920, 580, 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 690, 920, 580, 380 i.e 10.
3. How can I use the GCD of 690, 920, 580, 380Calculator?
Out the numbers 690, 920, 580, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.