Online GCD Calculator is useful to find the GCD of 770, 282, 228, 390 quickly. Get the easiest ways to solve the greatest common divisor of 770, 282, 228, 390 i.e 2 in different methods as follows.
Given Input numbers are 770, 282, 228, 390
In the factoring method, we have to find the divisors of all numbers
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (770, 282, 228, 390) = 2.
Given numbers are 770, 282, 228, 390
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 282 are 2 x 3 x 47
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 770, 282, 228, 390 is 2.
Given numbers are 770, 282, 228, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 282) = 108570
GCD(770, 282) = ( 770 x 282 ) / 108570
= 770 / 282
= 770
Step2:
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
= 2 / 228
= 2
Step3:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
So, Greatest Common Divisor of 770, 282, 228, 390 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 282, 228, 390
The greatest common divisor of numbers 770, 282, 228, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 282, 228, 390 is 2.
1. What is the GCD of 770, 282, 228, 390?
GCD of given numbers 770, 282, 228, 390 is 2
2. How to calculate the greatest common divisor of 770, 282, 228, 390?
We can find the highest common divisor of 770, 282, 228, 390 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 770, 282, 228, 390 i.e 2.
3. How can I use the GCD of 770, 282, 228, 390Calculator?
Out the numbers 770, 282, 228, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.