Online GCD Calculator is useful to find the GCD of 732, 768, 994, 870 quickly. Get the easiest ways to solve the greatest common divisor of 732, 768, 994, 870 i.e 2 in different methods as follows.
Given Input numbers are 732, 768, 994, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
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
GCD of numbers is the greatest common divisor
So, the GCD (732, 768, 994, 870) = 2.
Given numbers are 732, 768, 994, 870
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 994 are 2 x 7 x 71
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 732, 768, 994, 870 is 2.
Given numbers are 732, 768, 994, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 768) = 46848
GCD(732, 768) = ( 732 x 768 ) / 46848
= 732 / 768
= 732
Step2:
LCM(12, 994) = 5964
GCD(12, 994) = ( 12 x 994 ) / 5964
= 12 / 994
= 12
Step3:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
So, Greatest Common Divisor of 732, 768, 994, 870 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 768, 994, 870
The greatest common divisor of numbers 732, 768, 994, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 768, 994, 870 is 2.
1. What is the GCD of 732, 768, 994, 870?
GCD of given numbers 732, 768, 994, 870 is 2
2. How to calculate the greatest common divisor of 732, 768, 994, 870?
We can find the highest common divisor of 732, 768, 994, 870 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 732, 768, 994, 870 i.e 2.
3. How can I use the GCD of 732, 768, 994, 870Calculator?
Out the numbers 732, 768, 994, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.