Online GCD Calculator is useful to find the GCD of 867, 738, 758, 351 quickly. Get the easiest ways to solve the greatest common divisor of 867, 738, 758, 351 i.e 1 in different methods as follows.
Given Input numbers are 867, 738, 758, 351
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
GCD of numbers is the greatest common divisor
So, the GCD (867, 738, 758, 351) = 1.
Given numbers are 867, 738, 758, 351
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 758 are 2 x 379
Prime factors of 351 are 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 867, 738, 758, 351
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 738) = 213282
GCD(867, 738) = ( 867 x 738 ) / 213282
= 867 / 738
= 867
Step2:
LCM(3, 758) = 2274
GCD(3, 758) = ( 3 x 758 ) / 2274
= 3 / 758
= 3
Step3:
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
= 1 / 351
= 1
So, Greatest Common Divisor of 867, 738, 758, 351 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 867, 738, 758, 351
The greatest common divisor of numbers 867, 738, 758, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 738, 758, 351 is 1.
1. What is the GCD of 867, 738, 758, 351?
GCD of given numbers 867, 738, 758, 351 is 1
2. How to calculate the greatest common divisor of 867, 738, 758, 351?
We can find the highest common divisor of 867, 738, 758, 351 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 867, 738, 758, 351 i.e 1.
3. How can I use the GCD of 867, 738, 758, 351Calculator?
Out the numbers 867, 738, 758, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.