Online GCD Calculator is useful to find the GCD of 874, 834, 360, 932 quickly. Get the easiest ways to solve the greatest common divisor of 874, 834, 360, 932 i.e 2 in different methods as follows.
Given Input numbers are 874, 834, 360, 932
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 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
GCD of numbers is the greatest common divisor
So, the GCD (874, 834, 360, 932) = 2.
Given numbers are 874, 834, 360, 932
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 834 are 2 x 3 x 139
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 932 are 2 x 2 x 233
The highest common occurrence is 21
Therefore, GCD of 874, 834, 360, 932 is 2.
Given numbers are 874, 834, 360, 932
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 834) = 364458
GCD(874, 834) = ( 874 x 834 ) / 364458
= 874 / 834
= 874
Step2:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
Step3:
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
= 2 / 932
= 2
So, Greatest Common Divisor of 874, 834, 360, 932 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 834, 360, 932
The greatest common divisor of numbers 874, 834, 360, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 834, 360, 932 is 2.
1. What is the GCD of 874, 834, 360, 932?
GCD of given numbers 874, 834, 360, 932 is 2
2. How to calculate the greatest common divisor of 874, 834, 360, 932?
We can find the highest common divisor of 874, 834, 360, 932 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, 834, 360, 932 i.e 2.
3. How can I use the GCD of 874, 834, 360, 932Calculator?
Out the numbers 874, 834, 360, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.