Online GCD Calculator is useful to find the GCD of 870, 962, 124, 310 quickly. Get the easiest ways to solve the greatest common divisor of 870, 962, 124, 310 i.e 2 in different methods as follows.
Given Input numbers are 870, 962, 124, 310
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 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (870, 962, 124, 310) = 2.
Given numbers are 870, 962, 124, 310
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 962 are 2 x 13 x 37
Prime factors of 124 are 2 x 2 x 31
Prime factors of 310 are 2 x 5 x 31
The highest common occurrence is 21
Therefore, GCD of 870, 962, 124, 310 is 2.
Given numbers are 870, 962, 124, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 962) = 418470
GCD(870, 962) = ( 870 x 962 ) / 418470
= 870 / 962
= 870
Step2:
LCM(2, 124) = 124
GCD(2, 124) = ( 2 x 124 ) / 124
= 2 / 124
= 2
Step3:
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
= 2 / 310
= 2
So, Greatest Common Divisor of 870, 962, 124, 310 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 962, 124, 310
The greatest common divisor of numbers 870, 962, 124, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 962, 124, 310 is 2.
1. What is the GCD of 870, 962, 124, 310?
GCD of given numbers 870, 962, 124, 310 is 2
2. How to calculate the greatest common divisor of 870, 962, 124, 310?
We can find the highest common divisor of 870, 962, 124, 310 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, 962, 124, 310 i.e 2.
3. How can I use the GCD of 870, 962, 124, 310Calculator?
Out the numbers 870, 962, 124, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.