Online GCD Calculator is useful to find the GCD of 772, 272, 804, 548 quickly. Get the easiest ways to solve the greatest common divisor of 772, 272, 804, 548 i.e 4 in different methods as follows.
Given Input numbers are 772, 272, 804, 548
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (772, 272, 804, 548) = 4.
Given numbers are 772, 272, 804, 548
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 22
Therefore, GCD of 772, 272, 804, 548 is 4.
Given numbers are 772, 272, 804, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 272) = 52496
GCD(772, 272) = ( 772 x 272 ) / 52496
= 772 / 272
= 772
Step2:
LCM(4, 804) = 804
GCD(4, 804) = ( 4 x 804 ) / 804
= 4 / 804
= 4
Step3:
LCM(4, 548) = 548
GCD(4, 548) = ( 4 x 548 ) / 548
= 4 / 548
= 4
So, Greatest Common Divisor of 772, 272, 804, 548 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 272, 804, 548
The greatest common divisor of numbers 772, 272, 804, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 272, 804, 548 is 4.
1. What is the GCD of 772, 272, 804, 548?
GCD of given numbers 772, 272, 804, 548 is 4
2. How to calculate the greatest common divisor of 772, 272, 804, 548?
We can find the highest common divisor of 772, 272, 804, 548 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, 272, 804, 548 i.e 4.
3. How can I use the GCD of 772, 272, 804, 548Calculator?
Out the numbers 772, 272, 804, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.