Online GCD Calculator is useful to find the GCD of 842, 994, 420, 743 quickly. Get the easiest ways to solve the greatest common divisor of 842, 994, 420, 743 i.e 1 in different methods as follows.
Given Input numbers are 842, 994, 420, 743
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
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
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
GCD of numbers is the greatest common divisor
So, the GCD (842, 994, 420, 743) = 1.
Given numbers are 842, 994, 420, 743
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 994 are 2 x 7 x 71
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 743 are 743
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 842, 994, 420, 743
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 994) = 418474
GCD(842, 994) = ( 842 x 994 ) / 418474
= 842 / 994
= 842
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 743) = 1486
GCD(2, 743) = ( 2 x 743 ) / 1486
= 2 / 743
= 2
So, Greatest Common Divisor of 842, 994, 420, 743 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 994, 420, 743
The greatest common divisor of numbers 842, 994, 420, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 994, 420, 743 is 1.
1. What is the GCD of 842, 994, 420, 743?
GCD of given numbers 842, 994, 420, 743 is 1
2. How to calculate the greatest common divisor of 842, 994, 420, 743?
We can find the highest common divisor of 842, 994, 420, 743 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 842, 994, 420, 743 i.e 1.
3. How can I use the GCD of 842, 994, 420, 743Calculator?
Out the numbers 842, 994, 420, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.