Online GCD Calculator is useful to find the GCD of 146, 112, 624, 501 quickly. Get the easiest ways to solve the greatest common divisor of 146, 112, 624, 501 i.e 1 in different methods as follows.
Given Input numbers are 146, 112, 624, 501
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
GCD of numbers is the greatest common divisor
So, the GCD (146, 112, 624, 501) = 1.
Given numbers are 146, 112, 624, 501
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 501 are 3 x 167
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 146, 112, 624, 501
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 112) = 8176
GCD(146, 112) = ( 146 x 112 ) / 8176
= 146 / 112
= 146
Step2:
LCM(2, 624) = 624
GCD(2, 624) = ( 2 x 624 ) / 624
= 2 / 624
= 2
Step3:
LCM(2, 501) = 1002
GCD(2, 501) = ( 2 x 501 ) / 1002
= 2 / 501
= 2
So, Greatest Common Divisor of 146, 112, 624, 501 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 112, 624, 501
The greatest common divisor of numbers 146, 112, 624, 501 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 112, 624, 501 is 1.
1. What is the GCD of 146, 112, 624, 501?
GCD of given numbers 146, 112, 624, 501 is 1
2. How to calculate the greatest common divisor of 146, 112, 624, 501?
We can find the highest common divisor of 146, 112, 624, 501 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 146, 112, 624, 501 i.e 1.
3. How can I use the GCD of 146, 112, 624, 501Calculator?
Out the numbers 146, 112, 624, 501 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.