Online GCD Calculator is useful to find the GCD of 831, 735, 340, 135 quickly. Get the easiest ways to solve the greatest common divisor of 831, 735, 340, 135 i.e 1 in different methods as follows.
Given Input numbers are 831, 735, 340, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 (831, 735, 340, 135) = 1.
Given numbers are 831, 735, 340, 135
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
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 831, 735, 340, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 735) = 203595
GCD(831, 735) = ( 831 x 735 ) / 203595
= 831 / 735
= 831
Step2:
LCM(3, 340) = 1020
GCD(3, 340) = ( 3 x 340 ) / 1020
= 3 / 340
= 3
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 831, 735, 340, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 735, 340, 135
The greatest common divisor of numbers 831, 735, 340, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 735, 340, 135 is 1.
1. What is the GCD of 831, 735, 340, 135?
GCD of given numbers 831, 735, 340, 135 is 1
2. How to calculate the greatest common divisor of 831, 735, 340, 135?
We can find the highest common divisor of 831, 735, 340, 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 831, 735, 340, 135 i.e 1.
3. How can I use the GCD of 831, 735, 340, 135Calculator?
Out the numbers 831, 735, 340, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.