Online GCD Calculator is useful to find the GCD of 420, 180, 113, 707 quickly. Get the easiest ways to solve the greatest common divisor of 420, 180, 113, 707 i.e 1 in different methods as follows.
Given Input numbers are 420, 180, 113, 707
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
GCD of numbers is the greatest common divisor
So, the GCD (420, 180, 113, 707) = 1.
Given numbers are 420, 180, 113, 707
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 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 113 are 113
Prime factors of 707 are 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 180, 113, 707
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 180) = 1260
GCD(420, 180) = ( 420 x 180 ) / 1260
= 420 / 180
= 420
Step2:
LCM(60, 113) = 6780
GCD(60, 113) = ( 60 x 113 ) / 6780
= 60 / 113
= 60
Step3:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
So, Greatest Common Divisor of 420, 180, 113, 707 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 180, 113, 707
The greatest common divisor of numbers 420, 180, 113, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 180, 113, 707 is 1.
1. What is the GCD of 420, 180, 113, 707?
GCD of given numbers 420, 180, 113, 707 is 1
2. How to calculate the greatest common divisor of 420, 180, 113, 707?
We can find the highest common divisor of 420, 180, 113, 707 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, 180, 113, 707 i.e 1.
3. How can I use the GCD of 420, 180, 113, 707Calculator?
Out the numbers 420, 180, 113, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.