Online GCD Calculator is useful to find the GCD of 947, 414, 140, 231 quickly. Get the easiest ways to solve the greatest common divisor of 947, 414, 140, 231 i.e 1 in different methods as follows.
Given Input numbers are 947, 414, 140, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 947 :
The positive integer divisors of 947 that completely divides 947 are.
1, 947
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (947, 414, 140, 231) = 1.
Given numbers are 947, 414, 140, 231
The list of prime factors of all numbers are
Prime factors of 947 are 947
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 947, 414, 140, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(947, 414) = 392058
GCD(947, 414) = ( 947 x 414 ) / 392058
= 947 / 414
= 947
Step2:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
Step3:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 947, 414, 140, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 947, 414, 140, 231
The greatest common divisor of numbers 947, 414, 140, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 947, 414, 140, 231 is 1.
1. What is the GCD of 947, 414, 140, 231?
GCD of given numbers 947, 414, 140, 231 is 1
2. How to calculate the greatest common divisor of 947, 414, 140, 231?
We can find the highest common divisor of 947, 414, 140, 231 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 947, 414, 140, 231 i.e 1.
3. How can I use the GCD of 947, 414, 140, 231Calculator?
Out the numbers 947, 414, 140, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.