Online GCD Calculator is useful to find the GCD of 749, 427, 964, 311 quickly. Get the easiest ways to solve the greatest common divisor of 749, 427, 964, 311 i.e 1 in different methods as follows.
Given Input numbers are 749, 427, 964, 311
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
GCD of numbers is the greatest common divisor
So, the GCD (749, 427, 964, 311) = 1.
Given numbers are 749, 427, 964, 311
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 427 are 7 x 61
Prime factors of 964 are 2 x 2 x 241
Prime factors of 311 are 311
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 749, 427, 964, 311
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 427) = 45689
GCD(749, 427) = ( 749 x 427 ) / 45689
= 749 / 427
= 749
Step2:
LCM(7, 964) = 6748
GCD(7, 964) = ( 7 x 964 ) / 6748
= 7 / 964
= 7
Step3:
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
= 1 / 311
= 1
So, Greatest Common Divisor of 749, 427, 964, 311 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 749, 427, 964, 311
The greatest common divisor of numbers 749, 427, 964, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 427, 964, 311 is 1.
1. What is the GCD of 749, 427, 964, 311?
GCD of given numbers 749, 427, 964, 311 is 1
2. How to calculate the greatest common divisor of 749, 427, 964, 311?
We can find the highest common divisor of 749, 427, 964, 311 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 749, 427, 964, 311 i.e 1.
3. How can I use the GCD of 749, 427, 964, 311Calculator?
Out the numbers 749, 427, 964, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.