Online GCD Calculator is useful to find the GCD of 68, 70, 36, 99 quickly. Get the easiest ways to solve the greatest common divisor of 68, 70, 36, 99 i.e 1 in different methods as follows.
Given Input numbers are 68, 70, 36, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 68 :
The positive integer divisors of 68 that completely divides 68 are.
1, 2, 4, 17, 34, 68
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
GCD of numbers is the greatest common divisor
So, the GCD (68, 70, 36, 99) = 1.
Given numbers are 68, 70, 36, 99
The list of prime factors of all numbers are
Prime factors of 68 are 2 x 2 x 17
Prime factors of 70 are 2 x 5 x 7
Prime factors of 36 are 2 x 2 x 3 x 3
Prime factors of 99 are 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 68, 70, 36, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(68, 70) = 2380
GCD(68, 70) = ( 68 x 70 ) / 2380
= 68 / 70
= 68
Step2:
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
= 2 / 36
= 2
Step3:
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
= 2 / 99
= 2
So, Greatest Common Divisor of 68, 70, 36, 99 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 68, 70, 36, 99
The greatest common divisor of numbers 68, 70, 36, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 68, 70, 36, 99 is 1.
1. What is the GCD of 68, 70, 36, 99?
GCD of given numbers 68, 70, 36, 99 is 1
2. How to calculate the greatest common divisor of 68, 70, 36, 99?
We can find the highest common divisor of 68, 70, 36, 99 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 68, 70, 36, 99 i.e 1.
3. How can I use the GCD of 68, 70, 36, 99Calculator?
Out the numbers 68, 70, 36, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.