Online GCD Calculator is useful to find the GCD of 110, 724, 375, 252 quickly. Get the easiest ways to solve the greatest common divisor of 110, 724, 375, 252 i.e 1 in different methods as follows.
Given Input numbers are 110, 724, 375, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (110, 724, 375, 252) = 1.
Given numbers are 110, 724, 375, 252
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 724 are 2 x 2 x 181
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 110, 724, 375, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 724) = 39820
GCD(110, 724) = ( 110 x 724 ) / 39820
= 110 / 724
= 110
Step2:
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
= 2 / 375
= 2
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 110, 724, 375, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 724, 375, 252
The greatest common divisor of numbers 110, 724, 375, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 724, 375, 252 is 1.
1. What is the GCD of 110, 724, 375, 252?
GCD of given numbers 110, 724, 375, 252 is 1
2. How to calculate the greatest common divisor of 110, 724, 375, 252?
We can find the highest common divisor of 110, 724, 375, 252 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 110, 724, 375, 252 i.e 1.
3. How can I use the GCD of 110, 724, 375, 252Calculator?
Out the numbers 110, 724, 375, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.