Online GCD Calculator is useful to find the GCD of 472, 924, 348, 860 quickly. Get the easiest ways to solve the greatest common divisor of 472, 924, 348, 860 i.e 4 in different methods as follows.
Given Input numbers are 472, 924, 348, 860
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
GCD of numbers is the greatest common divisor
So, the GCD (472, 924, 348, 860) = 4.
Given numbers are 472, 924, 348, 860
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 860 are 2 x 2 x 5 x 43
The highest common occurrence is 22
Therefore, GCD of 472, 924, 348, 860 is 4.
Given numbers are 472, 924, 348, 860
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 924) = 109032
GCD(472, 924) = ( 472 x 924 ) / 109032
= 472 / 924
= 472
Step2:
LCM(4, 348) = 348
GCD(4, 348) = ( 4 x 348 ) / 348
= 4 / 348
= 4
Step3:
LCM(4, 860) = 860
GCD(4, 860) = ( 4 x 860 ) / 860
= 4 / 860
= 4
So, Greatest Common Divisor of 472, 924, 348, 860 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 924, 348, 860
The greatest common divisor of numbers 472, 924, 348, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 924, 348, 860 is 4.
1. What is the GCD of 472, 924, 348, 860?
GCD of given numbers 472, 924, 348, 860 is 4
2. How to calculate the greatest common divisor of 472, 924, 348, 860?
We can find the highest common divisor of 472, 924, 348, 860 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 472, 924, 348, 860 i.e 4.
3. How can I use the GCD of 472, 924, 348, 860Calculator?
Out the numbers 472, 924, 348, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.