Online GCD Calculator is useful to find the GCD of 111, 142, 702, 344 quickly. Get the easiest ways to solve the greatest common divisor of 111, 142, 702, 344 i.e 1 in different methods as follows.
Given Input numbers are 111, 142, 702, 344
In the factoring method, we have to find the divisors of all numbers
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
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 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (111, 142, 702, 344) = 1.
Given numbers are 111, 142, 702, 344
The list of prime factors of all numbers are
Prime factors of 111 are 3 x 37
Prime factors of 142 are 2 x 71
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 344 are 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 111, 142, 702, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(111, 142) = 15762
GCD(111, 142) = ( 111 x 142 ) / 15762
= 111 / 142
= 111
Step2:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
Step3:
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
= 1 / 344
= 1
So, Greatest Common Divisor of 111, 142, 702, 344 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 111, 142, 702, 344
The greatest common divisor of numbers 111, 142, 702, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 142, 702, 344 is 1.
1. What is the GCD of 111, 142, 702, 344?
GCD of given numbers 111, 142, 702, 344 is 1
2. How to calculate the greatest common divisor of 111, 142, 702, 344?
We can find the highest common divisor of 111, 142, 702, 344 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 111, 142, 702, 344 i.e 1.
3. How can I use the GCD of 111, 142, 702, 344Calculator?
Out the numbers 111, 142, 702, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.