Online GCD Calculator is useful to find the GCD of 772, 104, 368, 450 quickly. Get the easiest ways to solve the greatest common divisor of 772, 104, 368, 450 i.e 2 in different methods as follows.
Given Input numbers are 772, 104, 368, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (772, 104, 368, 450) = 2.
Given numbers are 772, 104, 368, 450
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 772, 104, 368, 450 is 2.
Given numbers are 772, 104, 368, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 104) = 20072
GCD(772, 104) = ( 772 x 104 ) / 20072
= 772 / 104
= 772
Step2:
LCM(4, 368) = 368
GCD(4, 368) = ( 4 x 368 ) / 368
= 4 / 368
= 4
Step3:
LCM(4, 450) = 900
GCD(4, 450) = ( 4 x 450 ) / 900
= 4 / 450
= 4
So, Greatest Common Divisor of 772, 104, 368, 450 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 104, 368, 450
The greatest common divisor of numbers 772, 104, 368, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 104, 368, 450 is 2.
1. What is the GCD of 772, 104, 368, 450?
GCD of given numbers 772, 104, 368, 450 is 2
2. How to calculate the greatest common divisor of 772, 104, 368, 450?
We can find the highest common divisor of 772, 104, 368, 450 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 772, 104, 368, 450 i.e 2.
3. How can I use the GCD of 772, 104, 368, 450Calculator?
Out the numbers 772, 104, 368, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.