Online GCD Calculator is useful to find the GCD of 560, 872, 76, 136 quickly. Get the easiest ways to solve the greatest common divisor of 560, 872, 76, 136 i.e 4 in different methods as follows.
Given Input numbers are 560, 872, 76, 136
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 76 :
The positive integer divisors of 76 that completely divides 76 are.
1, 2, 4, 19, 38, 76
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (560, 872, 76, 136) = 4.
Given numbers are 560, 872, 76, 136
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 76 are 2 x 2 x 19
Prime factors of 136 are 2 x 2 x 2 x 17
The highest common occurrence is 22
Therefore, GCD of 560, 872, 76, 136 is 4.
Given numbers are 560, 872, 76, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 872) = 61040
GCD(560, 872) = ( 560 x 872 ) / 61040
= 560 / 872
= 560
Step2:
LCM(8, 76) = 152
GCD(8, 76) = ( 8 x 76 ) / 152
= 8 / 76
= 8
Step3:
LCM(4, 136) = 136
GCD(4, 136) = ( 4 x 136 ) / 136
= 4 / 136
= 4
So, Greatest Common Divisor of 560, 872, 76, 136 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 872, 76, 136
The greatest common divisor of numbers 560, 872, 76, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 872, 76, 136 is 4.
1. What is the GCD of 560, 872, 76, 136?
GCD of given numbers 560, 872, 76, 136 is 4
2. How to calculate the greatest common divisor of 560, 872, 76, 136?
We can find the highest common divisor of 560, 872, 76, 136 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 560, 872, 76, 136 i.e 4.
3. How can I use the GCD of 560, 872, 76, 136Calculator?
Out the numbers 560, 872, 76, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.