Online GCD Calculator is useful to find the GCD of 362, 745, 705, 421 quickly. Get the easiest ways to solve the greatest common divisor of 362, 745, 705, 421 i.e 1 in different methods as follows.
Given Input numbers are 362, 745, 705, 421
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
GCD of numbers is the greatest common divisor
So, the GCD (362, 745, 705, 421) = 1.
Given numbers are 362, 745, 705, 421
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 745 are 5 x 149
Prime factors of 705 are 3 x 5 x 47
Prime factors of 421 are 421
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 745, 705, 421
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 745) = 269690
GCD(362, 745) = ( 362 x 745 ) / 269690
= 362 / 745
= 362
Step2:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
Step3:
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
= 1 / 421
= 1
So, Greatest Common Divisor of 362, 745, 705, 421 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 745, 705, 421
The greatest common divisor of numbers 362, 745, 705, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 745, 705, 421 is 1.
1. What is the GCD of 362, 745, 705, 421?
GCD of given numbers 362, 745, 705, 421 is 1
2. How to calculate the greatest common divisor of 362, 745, 705, 421?
We can find the highest common divisor of 362, 745, 705, 421 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 362, 745, 705, 421 i.e 1.
3. How can I use the GCD of 362, 745, 705, 421Calculator?
Out the numbers 362, 745, 705, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.