Online GCD Calculator is useful to find the GCD of 942, 209, 705, 120 quickly. Get the easiest ways to solve the greatest common divisor of 942, 209, 705, 120 i.e 1 in different methods as follows.
Given Input numbers are 942, 209, 705, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
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
GCD of numbers is the greatest common divisor
So, the GCD (942, 209, 705, 120) = 1.
Given numbers are 942, 209, 705, 120
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 209 are 11 x 19
Prime factors of 705 are 3 x 5 x 47
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 942, 209, 705, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 209) = 196878
GCD(942, 209) = ( 942 x 209 ) / 196878
= 942 / 209
= 942
Step2:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 942, 209, 705, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 209, 705, 120
The greatest common divisor of numbers 942, 209, 705, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 209, 705, 120 is 1.
1. What is the GCD of 942, 209, 705, 120?
GCD of given numbers 942, 209, 705, 120 is 1
2. How to calculate the greatest common divisor of 942, 209, 705, 120?
We can find the highest common divisor of 942, 209, 705, 120 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 942, 209, 705, 120 i.e 1.
3. How can I use the GCD of 942, 209, 705, 120Calculator?
Out the numbers 942, 209, 705, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.