Online GCD Calculator is useful to find the GCD of 420, 289, 715, 835 quickly. Get the easiest ways to solve the greatest common divisor of 420, 289, 715, 835 i.e 1 in different methods as follows.
Given Input numbers are 420, 289, 715, 835
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 835 :
The positive integer divisors of 835 that completely divides 835 are.
1, 5, 167, 835
GCD of numbers is the greatest common divisor
So, the GCD (420, 289, 715, 835) = 1.
Given numbers are 420, 289, 715, 835
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 289 are 17 x 17
Prime factors of 715 are 5 x 11 x 13
Prime factors of 835 are 5 x 167
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 289, 715, 835
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 289) = 121380
GCD(420, 289) = ( 420 x 289 ) / 121380
= 420 / 289
= 420
Step2:
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
= 1 / 715
= 1
Step3:
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
= 1 / 835
= 1
So, Greatest Common Divisor of 420, 289, 715, 835 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 289, 715, 835
The greatest common divisor of numbers 420, 289, 715, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 289, 715, 835 is 1.
1. What is the GCD of 420, 289, 715, 835?
GCD of given numbers 420, 289, 715, 835 is 1
2. How to calculate the greatest common divisor of 420, 289, 715, 835?
We can find the highest common divisor of 420, 289, 715, 835 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, 289, 715, 835 i.e 1.
3. How can I use the GCD of 420, 289, 715, 835Calculator?
Out the numbers 420, 289, 715, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.