Online GCD Calculator is useful to find the GCD of 120, 701, 123, 434 quickly. Get the easiest ways to solve the greatest common divisor of 120, 701, 123, 434 i.e 1 in different methods as follows.
Given Input numbers are 120, 701, 123, 434
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 701 :
The positive integer divisors of 701 that completely divides 701 are.
1, 701
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (120, 701, 123, 434) = 1.
Given numbers are 120, 701, 123, 434
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 701 are 701
Prime factors of 123 are 3 x 41
Prime factors of 434 are 2 x 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 701, 123, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 701) = 84120
GCD(120, 701) = ( 120 x 701 ) / 84120
= 120 / 701
= 120
Step2:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
Step3:
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
= 1 / 434
= 1
So, Greatest Common Divisor of 120, 701, 123, 434 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 701, 123, 434
The greatest common divisor of numbers 120, 701, 123, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 701, 123, 434 is 1.
1. What is the GCD of 120, 701, 123, 434?
GCD of given numbers 120, 701, 123, 434 is 1
2. How to calculate the greatest common divisor of 120, 701, 123, 434?
We can find the highest common divisor of 120, 701, 123, 434 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 120, 701, 123, 434 i.e 1.
3. How can I use the GCD of 120, 701, 123, 434Calculator?
Out the numbers 120, 701, 123, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.