Online GCD Calculator is useful to find the GCD of 874, 870, 692, 984 quickly. Get the easiest ways to solve the greatest common divisor of 874, 870, 692, 984 i.e 2 in different methods as follows.
Given Input numbers are 874, 870, 692, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (874, 870, 692, 984) = 2.
Given numbers are 874, 870, 692, 984
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 692 are 2 x 2 x 173
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 874, 870, 692, 984 is 2.
Given numbers are 874, 870, 692, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 870) = 380190
GCD(874, 870) = ( 874 x 870 ) / 380190
= 874 / 870
= 874
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
Step3:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
So, Greatest Common Divisor of 874, 870, 692, 984 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 870, 692, 984
The greatest common divisor of numbers 874, 870, 692, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 870, 692, 984 is 2.
1. What is the GCD of 874, 870, 692, 984?
GCD of given numbers 874, 870, 692, 984 is 2
2. How to calculate the greatest common divisor of 874, 870, 692, 984?
We can find the highest common divisor of 874, 870, 692, 984 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 874, 870, 692, 984 i.e 2.
3. How can I use the GCD of 874, 870, 692, 984Calculator?
Out the numbers 874, 870, 692, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.