Online GCD Calculator is useful to find the GCD of 840, 112, 185, 820 quickly. Get the easiest ways to solve the greatest common divisor of 840, 112, 185, 820 i.e 1 in different methods as follows.
Given Input numbers are 840, 112, 185, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 185 :
The positive integer divisors of 185 that completely divides 185 are.
1, 5, 37, 185
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (840, 112, 185, 820) = 1.
Given numbers are 840, 112, 185, 820
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 185 are 5 x 37
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 840, 112, 185, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 112) = 1680
GCD(840, 112) = ( 840 x 112 ) / 1680
= 840 / 112
= 840
Step2:
LCM(56, 185) = 10360
GCD(56, 185) = ( 56 x 185 ) / 10360
= 56 / 185
= 56
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 840, 112, 185, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 112, 185, 820
The greatest common divisor of numbers 840, 112, 185, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 112, 185, 820 is 1.
1. What is the GCD of 840, 112, 185, 820?
GCD of given numbers 840, 112, 185, 820 is 1
2. How to calculate the greatest common divisor of 840, 112, 185, 820?
We can find the highest common divisor of 840, 112, 185, 820 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 840, 112, 185, 820 i.e 1.
3. How can I use the GCD of 840, 112, 185, 820Calculator?
Out the numbers 840, 112, 185, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.