Online GCD Calculator is useful to find the GCD of 942, 409, 273, 420 quickly. Get the easiest ways to solve the greatest common divisor of 942, 409, 273, 420 i.e 1 in different methods as follows.
Given Input numbers are 942, 409, 273, 420
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 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (942, 409, 273, 420) = 1.
Given numbers are 942, 409, 273, 420
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 409 are 409
Prime factors of 273 are 3 x 7 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 942, 409, 273, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 409) = 385278
GCD(942, 409) = ( 942 x 409 ) / 385278
= 942 / 409
= 942
Step2:
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
= 1 / 273
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 942, 409, 273, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 409, 273, 420
The greatest common divisor of numbers 942, 409, 273, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 409, 273, 420 is 1.
1. What is the GCD of 942, 409, 273, 420?
GCD of given numbers 942, 409, 273, 420 is 1
2. How to calculate the greatest common divisor of 942, 409, 273, 420?
We can find the highest common divisor of 942, 409, 273, 420 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, 409, 273, 420 i.e 1.
3. How can I use the GCD of 942, 409, 273, 420Calculator?
Out the numbers 942, 409, 273, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.