Online GCD Calculator is useful to find the GCD of 308, 735, 143, 968 quickly. Get the easiest ways to solve the greatest common divisor of 308, 735, 143, 968 i.e 1 in different methods as follows.
Given Input numbers are 308, 735, 143, 968
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (308, 735, 143, 968) = 1.
Given numbers are 308, 735, 143, 968
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 143 are 11 x 13
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 735, 143, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 735) = 32340
GCD(308, 735) = ( 308 x 735 ) / 32340
= 308 / 735
= 308
Step2:
LCM(7, 143) = 1001
GCD(7, 143) = ( 7 x 143 ) / 1001
= 7 / 143
= 7
Step3:
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
= 1 / 968
= 1
So, Greatest Common Divisor of 308, 735, 143, 968 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 735, 143, 968
The greatest common divisor of numbers 308, 735, 143, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 735, 143, 968 is 1.
1. What is the GCD of 308, 735, 143, 968?
GCD of given numbers 308, 735, 143, 968 is 1
2. How to calculate the greatest common divisor of 308, 735, 143, 968?
We can find the highest common divisor of 308, 735, 143, 968 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 308, 735, 143, 968 i.e 1.
3. How can I use the GCD of 308, 735, 143, 968Calculator?
Out the numbers 308, 735, 143, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.