Online GCD Calculator is useful to find the GCD of 420, 731, 730, 149 quickly. Get the easiest ways to solve the greatest common divisor of 420, 731, 730, 149 i.e 1 in different methods as follows.
Given Input numbers are 420, 731, 730, 149
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 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (420, 731, 730, 149) = 1.
Given numbers are 420, 731, 730, 149
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 731 are 17 x 43
Prime factors of 730 are 2 x 5 x 73
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 731, 730, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 731) = 307020
GCD(420, 731) = ( 420 x 731 ) / 307020
= 420 / 731
= 420
Step2:
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
= 1 / 730
= 1
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 420, 731, 730, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 731, 730, 149
The greatest common divisor of numbers 420, 731, 730, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 731, 730, 149 is 1.
1. What is the GCD of 420, 731, 730, 149?
GCD of given numbers 420, 731, 730, 149 is 1
2. How to calculate the greatest common divisor of 420, 731, 730, 149?
We can find the highest common divisor of 420, 731, 730, 149 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, 731, 730, 149 i.e 1.
3. How can I use the GCD of 420, 731, 730, 149Calculator?
Out the numbers 420, 731, 730, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.