Online GCD Calculator is useful to find the GCD of 128, 200, 770, 778 quickly. Get the easiest ways to solve the greatest common divisor of 128, 200, 770, 778 i.e 2 in different methods as follows.
Given Input numbers are 128, 200, 770, 778
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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 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 (128, 200, 770, 778) = 2.
Given numbers are 128, 200, 770, 778
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 778 are 2 x 389
The highest common occurrence is 21
Therefore, GCD of 128, 200, 770, 778 is 2.
Given numbers are 128, 200, 770, 778
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 200) = 3200
GCD(128, 200) = ( 128 x 200 ) / 3200
= 128 / 200
= 128
Step2:
LCM(8, 770) = 3080
GCD(8, 770) = ( 8 x 770 ) / 3080
= 8 / 770
= 8
Step3:
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
= 2 / 778
= 2
So, Greatest Common Divisor of 128, 200, 770, 778 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 200, 770, 778
The greatest common divisor of numbers 128, 200, 770, 778 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 200, 770, 778 is 2.
1. What is the GCD of 128, 200, 770, 778?
GCD of given numbers 128, 200, 770, 778 is 2
2. How to calculate the greatest common divisor of 128, 200, 770, 778?
We can find the highest common divisor of 128, 200, 770, 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 128, 200, 770, 778 i.e 2.
3. How can I use the GCD of 128, 200, 770, 778Calculator?
Out the numbers 128, 200, 770, 778 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.