Online GCD Calculator is useful to find the GCD of 131, 682, 101, 420 quickly. Get the easiest ways to solve the greatest common divisor of 131, 682, 101, 420 i.e 1 in different methods as follows.
Given Input numbers are 131, 682, 101, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
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
GCD of numbers is the greatest common divisor
So, the GCD (131, 682, 101, 420) = 1.
Given numbers are 131, 682, 101, 420
The list of prime factors of all numbers are
Prime factors of 131 are 131
Prime factors of 682 are 2 x 11 x 31
Prime factors of 101 are 101
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 131, 682, 101, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(131, 682) = 89342
GCD(131, 682) = ( 131 x 682 ) / 89342
= 131 / 682
= 131
Step2:
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
= 1 / 101
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 131, 682, 101, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 131, 682, 101, 420
The greatest common divisor of numbers 131, 682, 101, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 682, 101, 420 is 1.
1. What is the GCD of 131, 682, 101, 420?
GCD of given numbers 131, 682, 101, 420 is 1
2. How to calculate the greatest common divisor of 131, 682, 101, 420?
We can find the highest common divisor of 131, 682, 101, 420 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 131, 682, 101, 420 i.e 1.
3. How can I use the GCD of 131, 682, 101, 420Calculator?
Out the numbers 131, 682, 101, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.