Online GCD Calculator is useful to find the GCD of 139, 916, 822, 312 quickly. Get the easiest ways to solve the greatest common divisor of 139, 916, 822, 312 i.e 1 in different methods as follows.
Given Input numbers are 139, 916, 822, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 139 :
The positive integer divisors of 139 that completely divides 139 are.
1, 139
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (139, 916, 822, 312) = 1.
Given numbers are 139, 916, 822, 312
The list of prime factors of all numbers are
Prime factors of 139 are 139
Prime factors of 916 are 2 x 2 x 229
Prime factors of 822 are 2 x 3 x 137
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 139, 916, 822, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(139, 916) = 127324
GCD(139, 916) = ( 139 x 916 ) / 127324
= 139 / 916
= 139
Step2:
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
= 1 / 822
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 139, 916, 822, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 139, 916, 822, 312
The greatest common divisor of numbers 139, 916, 822, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 139, 916, 822, 312 is 1.
1. What is the GCD of 139, 916, 822, 312?
GCD of given numbers 139, 916, 822, 312 is 1
2. How to calculate the greatest common divisor of 139, 916, 822, 312?
We can find the highest common divisor of 139, 916, 822, 312 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 139, 916, 822, 312 i.e 1.
3. How can I use the GCD of 139, 916, 822, 312Calculator?
Out the numbers 139, 916, 822, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.