Online GCD Calculator is useful to find the GCD of 427, 637, 820, 114 quickly. Get the easiest ways to solve the greatest common divisor of 427, 637, 820, 114 i.e 1 in different methods as follows.
Given Input numbers are 427, 637, 820, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (427, 637, 820, 114) = 1.
Given numbers are 427, 637, 820, 114
The list of prime factors of all numbers are
Prime factors of 427 are 7 x 61
Prime factors of 637 are 7 x 7 x 13
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 427, 637, 820, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(427, 637) = 38857
GCD(427, 637) = ( 427 x 637 ) / 38857
= 427 / 637
= 427
Step2:
LCM(7, 820) = 5740
GCD(7, 820) = ( 7 x 820 ) / 5740
= 7 / 820
= 7
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 427, 637, 820, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 427, 637, 820, 114
The greatest common divisor of numbers 427, 637, 820, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 637, 820, 114 is 1.
1. What is the GCD of 427, 637, 820, 114?
GCD of given numbers 427, 637, 820, 114 is 1
2. How to calculate the greatest common divisor of 427, 637, 820, 114?
We can find the highest common divisor of 427, 637, 820, 114 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 427, 637, 820, 114 i.e 1.
3. How can I use the GCD of 427, 637, 820, 114Calculator?
Out the numbers 427, 637, 820, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.