Online GCD Calculator is useful to find the GCD of 942, 456, 63 quickly. Get the easiest ways to solve the greatest common divisor of 942, 456, 63 i.e 3 in different methods as follows.
Given Input numbers are 942, 456, 63
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
GCD of numbers is the greatest common divisor
So, the GCD (942, 456, 63) = 3.
Given numbers are 942, 456, 63
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 63 are 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 942, 456, 63 is 3.
Given numbers are 942, 456, 63
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 456) = 71592
GCD(942, 456) = ( 942 x 456 ) / 71592
= 942 / 456
= 942
Step2:
LCM(6, 63) = 126
GCD(6, 63) = ( 6 x 63 ) / 126
= 6 / 63
= 6
So, Greatest Common Divisor of 942, 456, 63 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 456, 63
The greatest common divisor of numbers 942, 456, 63 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 456, 63 is 3.
1. What is the GCD of 942, 456, 63?
GCD of given numbers 942, 456, 63 is 3
2. How to calculate the greatest common divisor of 942, 456, 63?
We can find the highest common divisor of 942, 456, 63 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, 456, 63 i.e 3.
3. How can I use the GCD of 942, 456, 63Calculator?
Out the numbers 942, 456, 63 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.