Online GCD Calculator is useful to find the GCD of 705, 427, 920, 472 quickly. Get the easiest ways to solve the greatest common divisor of 705, 427, 920, 472 i.e 1 in different methods as follows.
Given Input numbers are 705, 427, 920, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (705, 427, 920, 472) = 1.
Given numbers are 705, 427, 920, 472
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 427 are 7 x 61
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 472 are 2 x 2 x 2 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 427, 920, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 427) = 301035
GCD(705, 427) = ( 705 x 427 ) / 301035
= 705 / 427
= 705
Step2:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
Step3:
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
= 1 / 472
= 1
So, Greatest Common Divisor of 705, 427, 920, 472 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 427, 920, 472
The greatest common divisor of numbers 705, 427, 920, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 427, 920, 472 is 1.
1. What is the GCD of 705, 427, 920, 472?
GCD of given numbers 705, 427, 920, 472 is 1
2. How to calculate the greatest common divisor of 705, 427, 920, 472?
We can find the highest common divisor of 705, 427, 920, 472 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 705, 427, 920, 472 i.e 1.
3. How can I use the GCD of 705, 427, 920, 472Calculator?
Out the numbers 705, 427, 920, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.