Online GCD Calculator is useful to find the GCD of 420, 119, 455, 721 quickly. Get the easiest ways to solve the greatest common divisor of 420, 119, 455, 721 i.e 7 in different methods as follows.
Given Input numbers are 420, 119, 455, 721
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 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (420, 119, 455, 721) = 7.
Given numbers are 420, 119, 455, 721
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 119 are 7 x 17
Prime factors of 455 are 5 x 7 x 13
Prime factors of 721 are 7 x 103
The highest common occurrence is 71
Therefore, GCD of 420, 119, 455, 721 is 7.
Given numbers are 420, 119, 455, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 119) = 7140
GCD(420, 119) = ( 420 x 119 ) / 7140
= 420 / 119
= 420
Step2:
LCM(7, 455) = 455
GCD(7, 455) = ( 7 x 455 ) / 455
= 7 / 455
= 7
Step3:
LCM(7, 721) = 721
GCD(7, 721) = ( 7 x 721 ) / 721
= 7 / 721
= 7
So, Greatest Common Divisor of 420, 119, 455, 721 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 119, 455, 721
The greatest common divisor of numbers 420, 119, 455, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 119, 455, 721 is 7.
1. What is the GCD of 420, 119, 455, 721?
GCD of given numbers 420, 119, 455, 721 is 7
2. How to calculate the greatest common divisor of 420, 119, 455, 721?
We can find the highest common divisor of 420, 119, 455, 721 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, 119, 455, 721 i.e 7.
3. How can I use the GCD of 420, 119, 455, 721Calculator?
Out the numbers 420, 119, 455, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.