Online GCD Calculator is useful to find the GCD of 870, 702, 93, 876 quickly. Get the easiest ways to solve the greatest common divisor of 870, 702, 93, 876 i.e 3 in different methods as follows.
Given Input numbers are 870, 702, 93, 876
In the factoring method, we have to find the divisors of all numbers
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 93 :
The positive integer divisors of 93 that completely divides 93 are.
1, 3, 31, 93
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
GCD of numbers is the greatest common divisor
So, the GCD (870, 702, 93, 876) = 3.
Given numbers are 870, 702, 93, 876
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 93 are 3 x 31
Prime factors of 876 are 2 x 2 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 870, 702, 93, 876 is 3.
Given numbers are 870, 702, 93, 876
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 702) = 101790
GCD(870, 702) = ( 870 x 702 ) / 101790
= 870 / 702
= 870
Step2:
LCM(6, 93) = 186
GCD(6, 93) = ( 6 x 93 ) / 186
= 6 / 93
= 6
Step3:
LCM(3, 876) = 876
GCD(3, 876) = ( 3 x 876 ) / 876
= 3 / 876
= 3
So, Greatest Common Divisor of 870, 702, 93, 876 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 702, 93, 876
The greatest common divisor of numbers 870, 702, 93, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 702, 93, 876 is 3.
1. What is the GCD of 870, 702, 93, 876?
GCD of given numbers 870, 702, 93, 876 is 3
2. How to calculate the greatest common divisor of 870, 702, 93, 876?
We can find the highest common divisor of 870, 702, 93, 876 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 870, 702, 93, 876 i.e 3.
3. How can I use the GCD of 870, 702, 93, 876Calculator?
Out the numbers 870, 702, 93, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.