Online GCD Calculator is useful to find the GCD of 528, 870, 972, 460 quickly. Get the easiest ways to solve the greatest common divisor of 528, 870, 972, 460 i.e 2 in different methods as follows.
Given Input numbers are 528, 870, 972, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
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 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (528, 870, 972, 460) = 2.
Given numbers are 528, 870, 972, 460
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 528, 870, 972, 460 is 2.
Given numbers are 528, 870, 972, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 870) = 76560
GCD(528, 870) = ( 528 x 870 ) / 76560
= 528 / 870
= 528
Step2:
LCM(6, 972) = 972
GCD(6, 972) = ( 6 x 972 ) / 972
= 6 / 972
= 6
Step3:
LCM(6, 460) = 1380
GCD(6, 460) = ( 6 x 460 ) / 1380
= 6 / 460
= 6
So, Greatest Common Divisor of 528, 870, 972, 460 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 528, 870, 972, 460
The greatest common divisor of numbers 528, 870, 972, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 870, 972, 460 is 2.
1. What is the GCD of 528, 870, 972, 460?
GCD of given numbers 528, 870, 972, 460 is 2
2. How to calculate the greatest common divisor of 528, 870, 972, 460?
We can find the highest common divisor of 528, 870, 972, 460 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 528, 870, 972, 460 i.e 2.
3. How can I use the GCD of 528, 870, 972, 460Calculator?
Out the numbers 528, 870, 972, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.