Online GCD Calculator is useful to find the GCD of 71, 49, 43, 84 quickly. Get the easiest ways to solve the greatest common divisor of 71, 49, 43, 84 i.e 1 in different methods as follows.
Given Input numbers are 71, 49, 43, 84
In the factoring method, we have to find the divisors of all numbers
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
Divisors of 43 :
The positive integer divisors of 43 that completely divides 43 are.
1, 43
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD of numbers is the greatest common divisor
So, the GCD (71, 49, 43, 84) = 1.
Given numbers are 71, 49, 43, 84
The list of prime factors of all numbers are
Prime factors of 71 are 71
Prime factors of 49 are 7 x 7
Prime factors of 43 are 43
Prime factors of 84 are 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 71, 49, 43, 84
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(71, 49) = 3479
GCD(71, 49) = ( 71 x 49 ) / 3479
= 71 / 49
= 71
Step2:
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
= 1 / 43
= 1
Step3:
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
= 1 / 84
= 1
So, Greatest Common Divisor of 71, 49, 43, 84 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 71, 49, 43, 84
The greatest common divisor of numbers 71, 49, 43, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 71, 49, 43, 84 is 1.
1. What is the GCD of 71, 49, 43, 84?
GCD of given numbers 71, 49, 43, 84 is 1
2. How to calculate the greatest common divisor of 71, 49, 43, 84?
We can find the highest common divisor of 71, 49, 43, 84 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 71, 49, 43, 84 i.e 1.
3. How can I use the GCD of 71, 49, 43, 84Calculator?
Out the numbers 71, 49, 43, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.