Online GCD Calculator is useful to find the GCD of 860, 748, 972, 990 quickly. Get the easiest ways to solve the greatest common divisor of 860, 748, 972, 990 i.e 2 in different methods as follows.
Given Input numbers are 860, 748, 972, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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
GCD of numbers is the greatest common divisor
So, the GCD (860, 748, 972, 990) = 2.
Given numbers are 860, 748, 972, 990
The list of prime factors of all numbers are
Prime factors of 860 are 2 x 2 x 5 x 43
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 860, 748, 972, 990 is 2.
Given numbers are 860, 748, 972, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(860, 748) = 160820
GCD(860, 748) = ( 860 x 748 ) / 160820
= 860 / 748
= 860
Step2:
LCM(4, 972) = 972
GCD(4, 972) = ( 4 x 972 ) / 972
= 4 / 972
= 4
Step3:
LCM(4, 990) = 1980
GCD(4, 990) = ( 4 x 990 ) / 1980
= 4 / 990
= 4
So, Greatest Common Divisor of 860, 748, 972, 990 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 860, 748, 972, 990
The greatest common divisor of numbers 860, 748, 972, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 860, 748, 972, 990 is 2.
1. What is the GCD of 860, 748, 972, 990?
GCD of given numbers 860, 748, 972, 990 is 2
2. How to calculate the greatest common divisor of 860, 748, 972, 990?
We can find the highest common divisor of 860, 748, 972, 990 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 860, 748, 972, 990 i.e 2.
3. How can I use the GCD of 860, 748, 972, 990Calculator?
Out the numbers 860, 748, 972, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.