Online GCD Calculator is useful to find the GCD of 788, 292, 580, 240 quickly. Get the easiest ways to solve the greatest common divisor of 788, 292, 580, 240 i.e 4 in different methods as follows.
Given Input numbers are 788, 292, 580, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
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 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (788, 292, 580, 240) = 4.
Given numbers are 788, 292, 580, 240
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 292 are 2 x 2 x 73
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 788, 292, 580, 240 is 4.
Given numbers are 788, 292, 580, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 292) = 57524
GCD(788, 292) = ( 788 x 292 ) / 57524
= 788 / 292
= 788
Step2:
LCM(4, 580) = 580
GCD(4, 580) = ( 4 x 580 ) / 580
= 4 / 580
= 4
Step3:
LCM(4, 240) = 240
GCD(4, 240) = ( 4 x 240 ) / 240
= 4 / 240
= 4
So, Greatest Common Divisor of 788, 292, 580, 240 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 292, 580, 240
The greatest common divisor of numbers 788, 292, 580, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 292, 580, 240 is 4.
1. What is the GCD of 788, 292, 580, 240?
GCD of given numbers 788, 292, 580, 240 is 4
2. How to calculate the greatest common divisor of 788, 292, 580, 240?
We can find the highest common divisor of 788, 292, 580, 240 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 788, 292, 580, 240 i.e 4.
3. How can I use the GCD of 788, 292, 580, 240Calculator?
Out the numbers 788, 292, 580, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.