Online GCD Calculator is useful to find the GCD of 801, 966, 753, 870 quickly. Get the easiest ways to solve the greatest common divisor of 801, 966, 753, 870 i.e 3 in different methods as follows.
Given Input numbers are 801, 966, 753, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
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 (801, 966, 753, 870) = 3.
Given numbers are 801, 966, 753, 870
The list of prime factors of all numbers are
Prime factors of 801 are 3 x 3 x 89
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 753 are 3 x 251
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 31
Therefore, GCD of 801, 966, 753, 870 is 3.
Given numbers are 801, 966, 753, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(801, 966) = 257922
GCD(801, 966) = ( 801 x 966 ) / 257922
= 801 / 966
= 801
Step2:
LCM(3, 753) = 753
GCD(3, 753) = ( 3 x 753 ) / 753
= 3 / 753
= 3
Step3:
LCM(3, 870) = 870
GCD(3, 870) = ( 3 x 870 ) / 870
= 3 / 870
= 3
So, Greatest Common Divisor of 801, 966, 753, 870 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 801, 966, 753, 870
The greatest common divisor of numbers 801, 966, 753, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 966, 753, 870 is 3.
1. What is the GCD of 801, 966, 753, 870?
GCD of given numbers 801, 966, 753, 870 is 3
2. How to calculate the greatest common divisor of 801, 966, 753, 870?
We can find the highest common divisor of 801, 966, 753, 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 801, 966, 753, 870 i.e 3.
3. How can I use the GCD of 801, 966, 753, 870Calculator?
Out the numbers 801, 966, 753, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.