Online GCD Calculator is useful to find the GCD of 770, 304, 500, 778 quickly. Get the easiest ways to solve the greatest common divisor of 770, 304, 500, 778 i.e 2 in different methods as follows.
Given Input numbers are 770, 304, 500, 778
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 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
GCD of numbers is the greatest common divisor
So, the GCD (770, 304, 500, 778) = 2.
Given numbers are 770, 304, 500, 778
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 778 are 2 x 389
The highest common occurrence is 21
Therefore, GCD of 770, 304, 500, 778 is 2.
Given numbers are 770, 304, 500, 778
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 304) = 117040
GCD(770, 304) = ( 770 x 304 ) / 117040
= 770 / 304
= 770
Step2:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
Step3:
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
= 2 / 778
= 2
So, Greatest Common Divisor of 770, 304, 500, 778 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 304, 500, 778
The greatest common divisor of numbers 770, 304, 500, 778 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 304, 500, 778 is 2.
1. What is the GCD of 770, 304, 500, 778?
GCD of given numbers 770, 304, 500, 778 is 2
2. How to calculate the greatest common divisor of 770, 304, 500, 778?
We can find the highest common divisor of 770, 304, 500, 778 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, 304, 500, 778 i.e 2.
3. How can I use the GCD of 770, 304, 500, 778Calculator?
Out the numbers 770, 304, 500, 778 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.