Online GCD Calculator is useful to find the GCD of 560, 156, 542, 660 quickly. Get the easiest ways to solve the greatest common divisor of 560, 156, 542, 660 i.e 2 in different methods as follows.
Given Input numbers are 560, 156, 542, 660
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 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (560, 156, 542, 660) = 2.
Given numbers are 560, 156, 542, 660
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 156 are 2 x 2 x 3 x 13
Prime factors of 542 are 2 x 271
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 560, 156, 542, 660 is 2.
Given numbers are 560, 156, 542, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 156) = 21840
GCD(560, 156) = ( 560 x 156 ) / 21840
= 560 / 156
= 560
Step2:
LCM(4, 542) = 1084
GCD(4, 542) = ( 4 x 542 ) / 1084
= 4 / 542
= 4
Step3:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 560, 156, 542, 660 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 156, 542, 660
The greatest common divisor of numbers 560, 156, 542, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 156, 542, 660 is 2.
1. What is the GCD of 560, 156, 542, 660?
GCD of given numbers 560, 156, 542, 660 is 2
2. How to calculate the greatest common divisor of 560, 156, 542, 660?
We can find the highest common divisor of 560, 156, 542, 660 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, 156, 542, 660 i.e 2.
3. How can I use the GCD of 560, 156, 542, 660Calculator?
Out the numbers 560, 156, 542, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.