Online GCD Calculator is useful to find the GCD of 84, 75, 25, 65 quickly. Get the easiest ways to solve the greatest common divisor of 84, 75, 25, 65 i.e 1 in different methods as follows.
Given Input numbers are 84, 75, 25, 65
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 25 :
The positive integer divisors of 25 that completely divides 25 are.
1, 5, 25
Divisors of 65 :
The positive integer divisors of 65 that completely divides 65 are.
1, 5, 13, 65
GCD of numbers is the greatest common divisor
So, the GCD (84, 75, 25, 65) = 1.
Given numbers are 84, 75, 25, 65
The list of prime factors of all numbers are
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 75 are 3 x 5 x 5
Prime factors of 25 are 5 x 5
Prime factors of 65 are 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 84, 75, 25, 65
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(84, 75) = 2100
GCD(84, 75) = ( 84 x 75 ) / 2100
= 84 / 75
= 84
Step2:
LCM(3, 25) = 75
GCD(3, 25) = ( 3 x 25 ) / 75
= 3 / 25
= 3
Step3:
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
= 1 / 65
= 1
So, Greatest Common Divisor of 84, 75, 25, 65 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 84, 75, 25, 65
The greatest common divisor of numbers 84, 75, 25, 65 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 84, 75, 25, 65 is 1.
1. What is the GCD of 84, 75, 25, 65?
GCD of given numbers 84, 75, 25, 65 is 1
2. How to calculate the greatest common divisor of 84, 75, 25, 65?
We can find the highest common divisor of 84, 75, 25, 65 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 84, 75, 25, 65 i.e 1.
3. How can I use the GCD of 84, 75, 25, 65Calculator?
Out the numbers 84, 75, 25, 65 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.