Online GCD Calculator is useful to find the GCD of 560, 276, 990, 970 quickly. Get the easiest ways to solve the greatest common divisor of 560, 276, 990, 970 i.e 2 in different methods as follows.
Given Input numbers are 560, 276, 990, 970
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 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 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (560, 276, 990, 970) = 2.
Given numbers are 560, 276, 990, 970
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 276 are 2 x 2 x 3 x 23
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 970 are 2 x 5 x 97
The highest common occurrence is 21
Therefore, GCD of 560, 276, 990, 970 is 2.
Given numbers are 560, 276, 990, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 276) = 38640
GCD(560, 276) = ( 560 x 276 ) / 38640
= 560 / 276
= 560
Step2:
LCM(4, 990) = 1980
GCD(4, 990) = ( 4 x 990 ) / 1980
= 4 / 990
= 4
Step3:
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
= 2 / 970
= 2
So, Greatest Common Divisor of 560, 276, 990, 970 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 276, 990, 970
The greatest common divisor of numbers 560, 276, 990, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 276, 990, 970 is 2.
1. What is the GCD of 560, 276, 990, 970?
GCD of given numbers 560, 276, 990, 970 is 2
2. How to calculate the greatest common divisor of 560, 276, 990, 970?
We can find the highest common divisor of 560, 276, 990, 970 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, 276, 990, 970 i.e 2.
3. How can I use the GCD of 560, 276, 990, 970Calculator?
Out the numbers 560, 276, 990, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.