Online GCD Calculator is useful to find the GCD of 872, 724, 740, 135 quickly. Get the easiest ways to solve the greatest common divisor of 872, 724, 740, 135 i.e 1 in different methods as follows.
Given Input numbers are 872, 724, 740, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (872, 724, 740, 135) = 1.
Given numbers are 872, 724, 740, 135
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 724 are 2 x 2 x 181
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 872, 724, 740, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 724) = 157832
GCD(872, 724) = ( 872 x 724 ) / 157832
= 872 / 724
= 872
Step2:
LCM(4, 740) = 740
GCD(4, 740) = ( 4 x 740 ) / 740
= 4 / 740
= 4
Step3:
LCM(4, 135) = 540
GCD(4, 135) = ( 4 x 135 ) / 540
= 4 / 135
= 4
So, Greatest Common Divisor of 872, 724, 740, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 724, 740, 135
The greatest common divisor of numbers 872, 724, 740, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 724, 740, 135 is 1.
1. What is the GCD of 872, 724, 740, 135?
GCD of given numbers 872, 724, 740, 135 is 1
2. How to calculate the greatest common divisor of 872, 724, 740, 135?
We can find the highest common divisor of 872, 724, 740, 135 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 872, 724, 740, 135 i.e 1.
3. How can I use the GCD of 872, 724, 740, 135Calculator?
Out the numbers 872, 724, 740, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.