Online GCD Calculator is useful to find the GCD of 123, 702, 269, 160 quickly. Get the easiest ways to solve the greatest common divisor of 123, 702, 269, 160 i.e 1 in different methods as follows.
Given Input numbers are 123, 702, 269, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (123, 702, 269, 160) = 1.
Given numbers are 123, 702, 269, 160
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 269 are 269
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 702, 269, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 702) = 28782
GCD(123, 702) = ( 123 x 702 ) / 28782
= 123 / 702
= 123
Step2:
LCM(3, 269) = 807
GCD(3, 269) = ( 3 x 269 ) / 807
= 3 / 269
= 3
Step3:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
So, Greatest Common Divisor of 123, 702, 269, 160 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 702, 269, 160
The greatest common divisor of numbers 123, 702, 269, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 702, 269, 160 is 1.
1. What is the GCD of 123, 702, 269, 160?
GCD of given numbers 123, 702, 269, 160 is 1
2. How to calculate the greatest common divisor of 123, 702, 269, 160?
We can find the highest common divisor of 123, 702, 269, 160 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 123, 702, 269, 160 i.e 1.
3. How can I use the GCD of 123, 702, 269, 160Calculator?
Out the numbers 123, 702, 269, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.