Online GCD Calculator is useful to find the GCD of 942, 572, 820, 928 quickly. Get the easiest ways to solve the greatest common divisor of 942, 572, 820, 928 i.e 2 in different methods as follows.
Given Input numbers are 942, 572, 820, 928
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (942, 572, 820, 928) = 2.
Given numbers are 942, 572, 820, 928
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 942, 572, 820, 928 is 2.
Given numbers are 942, 572, 820, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 572) = 269412
GCD(942, 572) = ( 942 x 572 ) / 269412
= 942 / 572
= 942
Step2:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
Step3:
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
= 2 / 928
= 2
So, Greatest Common Divisor of 942, 572, 820, 928 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 572, 820, 928
The greatest common divisor of numbers 942, 572, 820, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 572, 820, 928 is 2.
1. What is the GCD of 942, 572, 820, 928?
GCD of given numbers 942, 572, 820, 928 is 2
2. How to calculate the greatest common divisor of 942, 572, 820, 928?
We can find the highest common divisor of 942, 572, 820, 928 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 942, 572, 820, 928 i.e 2.
3. How can I use the GCD of 942, 572, 820, 928Calculator?
Out the numbers 942, 572, 820, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.