Online GCD Calculator is useful to find the GCD of 153, 276, 561, 804 quickly. Get the easiest ways to solve the greatest common divisor of 153, 276, 561, 804 i.e 3 in different methods as follows.
Given Input numbers are 153, 276, 561, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
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
GCD of numbers is the greatest common divisor
So, the GCD (153, 276, 561, 804) = 3.
Given numbers are 153, 276, 561, 804
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 561 are 3 x 11 x 17
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 153, 276, 561, 804 is 3.
Given numbers are 153, 276, 561, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 276) = 14076
GCD(153, 276) = ( 153 x 276 ) / 14076
= 153 / 276
= 153
Step2:
LCM(3, 561) = 561
GCD(3, 561) = ( 3 x 561 ) / 561
= 3 / 561
= 3
Step3:
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
= 3 / 804
= 3
So, Greatest Common Divisor of 153, 276, 561, 804 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 276, 561, 804
The greatest common divisor of numbers 153, 276, 561, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 276, 561, 804 is 3.
1. What is the GCD of 153, 276, 561, 804?
GCD of given numbers 153, 276, 561, 804 is 3
2. How to calculate the greatest common divisor of 153, 276, 561, 804?
We can find the highest common divisor of 153, 276, 561, 804 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 153, 276, 561, 804 i.e 3.
3. How can I use the GCD of 153, 276, 561, 804Calculator?
Out the numbers 153, 276, 561, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.