Online GCD Calculator is useful to find the GCD of 561, 708, 786, 153 quickly. Get the easiest ways to solve the greatest common divisor of 561, 708, 786, 153 i.e 3 in different methods as follows.
Given Input numbers are 561, 708, 786, 153
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (561, 708, 786, 153) = 3.
Given numbers are 561, 708, 786, 153
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 786 are 2 x 3 x 131
Prime factors of 153 are 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 561, 708, 786, 153 is 3.
Given numbers are 561, 708, 786, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 708) = 132396
GCD(561, 708) = ( 561 x 708 ) / 132396
= 561 / 708
= 561
Step2:
LCM(3, 786) = 786
GCD(3, 786) = ( 3 x 786 ) / 786
= 3 / 786
= 3
Step3:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
So, Greatest Common Divisor of 561, 708, 786, 153 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 708, 786, 153
The greatest common divisor of numbers 561, 708, 786, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 708, 786, 153 is 3.
1. What is the GCD of 561, 708, 786, 153?
GCD of given numbers 561, 708, 786, 153 is 3
2. How to calculate the greatest common divisor of 561, 708, 786, 153?
We can find the highest common divisor of 561, 708, 786, 153 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 561, 708, 786, 153 i.e 3.
3. How can I use the GCD of 561, 708, 786, 153Calculator?
Out the numbers 561, 708, 786, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.