Online GCD Calculator is useful to find the GCD of 420, 870, 824, 731 quickly. Get the easiest ways to solve the greatest common divisor of 420, 870, 824, 731 i.e 1 in different methods as follows.
Given Input numbers are 420, 870, 824, 731
In the factoring method, we have to find the divisors of all numbers
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 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (420, 870, 824, 731) = 1.
Given numbers are 420, 870, 824, 731
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 870, 824, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 870) = 12180
GCD(420, 870) = ( 420 x 870 ) / 12180
= 420 / 870
= 420
Step2:
LCM(30, 824) = 12360
GCD(30, 824) = ( 30 x 824 ) / 12360
= 30 / 824
= 30
Step3:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
So, Greatest Common Divisor of 420, 870, 824, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 870, 824, 731
The greatest common divisor of numbers 420, 870, 824, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 870, 824, 731 is 1.
1. What is the GCD of 420, 870, 824, 731?
GCD of given numbers 420, 870, 824, 731 is 1
2. How to calculate the greatest common divisor of 420, 870, 824, 731?
We can find the highest common divisor of 420, 870, 824, 731 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 420, 870, 824, 731 i.e 1.
3. How can I use the GCD of 420, 870, 824, 731Calculator?
Out the numbers 420, 870, 824, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.