Online GCD Calculator is useful to find the GCD of 584, 912, 378, 147 quickly. Get the easiest ways to solve the greatest common divisor of 584, 912, 378, 147 i.e 1 in different methods as follows.
Given Input numbers are 584, 912, 378, 147
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (584, 912, 378, 147) = 1.
Given numbers are 584, 912, 378, 147
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 147 are 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 912, 378, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 912) = 66576
GCD(584, 912) = ( 584 x 912 ) / 66576
= 584 / 912
= 584
Step2:
LCM(8, 378) = 1512
GCD(8, 378) = ( 8 x 378 ) / 1512
= 8 / 378
= 8
Step3:
LCM(2, 147) = 294
GCD(2, 147) = ( 2 x 147 ) / 294
= 2 / 147
= 2
So, Greatest Common Divisor of 584, 912, 378, 147 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 912, 378, 147
The greatest common divisor of numbers 584, 912, 378, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 912, 378, 147 is 1.
1. What is the GCD of 584, 912, 378, 147?
GCD of given numbers 584, 912, 378, 147 is 1
2. How to calculate the greatest common divisor of 584, 912, 378, 147?
We can find the highest common divisor of 584, 912, 378, 147 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 584, 912, 378, 147 i.e 1.
3. How can I use the GCD of 584, 912, 378, 147Calculator?
Out the numbers 584, 912, 378, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.