Online GCD Calculator is useful to find the GCD of 135, 898, 732, 140 quickly. Get the easiest ways to solve the greatest common divisor of 135, 898, 732, 140 i.e 1 in different methods as follows.
Given Input numbers are 135, 898, 732, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (135, 898, 732, 140) = 1.
Given numbers are 135, 898, 732, 140
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 898 are 2 x 449
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 898, 732, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 898) = 121230
GCD(135, 898) = ( 135 x 898 ) / 121230
= 135 / 898
= 135
Step2:
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
= 1 / 732
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 135, 898, 732, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 898, 732, 140
The greatest common divisor of numbers 135, 898, 732, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 898, 732, 140 is 1.
1. What is the GCD of 135, 898, 732, 140?
GCD of given numbers 135, 898, 732, 140 is 1
2. How to calculate the greatest common divisor of 135, 898, 732, 140?
We can find the highest common divisor of 135, 898, 732, 140 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 135, 898, 732, 140 i.e 1.
3. How can I use the GCD of 135, 898, 732, 140Calculator?
Out the numbers 135, 898, 732, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.