Online GCD Calculator is useful to find the GCD of 849, 837, 542, 420 quickly. Get the easiest ways to solve the greatest common divisor of 849, 837, 542, 420 i.e 1 in different methods as follows.
Given Input numbers are 849, 837, 542, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
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 (849, 837, 542, 420) = 1.
Given numbers are 849, 837, 542, 420
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 542 are 2 x 271
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 849, 837, 542, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 837) = 236871
GCD(849, 837) = ( 849 x 837 ) / 236871
= 849 / 837
= 849
Step2:
LCM(3, 542) = 1626
GCD(3, 542) = ( 3 x 542 ) / 1626
= 3 / 542
= 3
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 849, 837, 542, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 837, 542, 420
The greatest common divisor of numbers 849, 837, 542, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 837, 542, 420 is 1.
1. What is the GCD of 849, 837, 542, 420?
GCD of given numbers 849, 837, 542, 420 is 1
2. How to calculate the greatest common divisor of 849, 837, 542, 420?
We can find the highest common divisor of 849, 837, 542, 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 849, 837, 542, 420 i.e 1.
3. How can I use the GCD of 849, 837, 542, 420Calculator?
Out the numbers 849, 837, 542, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.