Online GCD Calculator is useful to find the GCD of 920, 838, 546, 580 quickly. Get the easiest ways to solve the greatest common divisor of 920, 838, 546, 580 i.e 2 in different methods as follows.
Given Input numbers are 920, 838, 546, 580
In the factoring method, we have to find the divisors of all numbers
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 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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
GCD of numbers is the greatest common divisor
So, the GCD (920, 838, 546, 580) = 2.
Given numbers are 920, 838, 546, 580
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 838 are 2 x 419
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 920, 838, 546, 580 is 2.
Given numbers are 920, 838, 546, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 838) = 385480
GCD(920, 838) = ( 920 x 838 ) / 385480
= 920 / 838
= 920
Step2:
LCM(2, 546) = 546
GCD(2, 546) = ( 2 x 546 ) / 546
= 2 / 546
= 2
Step3:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
So, Greatest Common Divisor of 920, 838, 546, 580 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 838, 546, 580
The greatest common divisor of numbers 920, 838, 546, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 838, 546, 580 is 2.
1. What is the GCD of 920, 838, 546, 580?
GCD of given numbers 920, 838, 546, 580 is 2
2. How to calculate the greatest common divisor of 920, 838, 546, 580?
We can find the highest common divisor of 920, 838, 546, 580 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 920, 838, 546, 580 i.e 2.
3. How can I use the GCD of 920, 838, 546, 580Calculator?
Out the numbers 920, 838, 546, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.