Online GCD Calculator is useful to find the GCD of 967, 567, 414, 976 quickly. Get the easiest ways to solve the greatest common divisor of 967, 567, 414, 976 i.e 1 in different methods as follows.
Given Input numbers are 967, 567, 414, 976
In the factoring method, we have to find the divisors of all numbers
Divisors of 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
GCD of numbers is the greatest common divisor
So, the GCD (967, 567, 414, 976) = 1.
Given numbers are 967, 567, 414, 976
The list of prime factors of all numbers are
Prime factors of 967 are 967
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 967, 567, 414, 976
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(967, 567) = 548289
GCD(967, 567) = ( 967 x 567 ) / 548289
= 967 / 567
= 967
Step2:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
Step3:
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
= 1 / 976
= 1
So, Greatest Common Divisor of 967, 567, 414, 976 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 967, 567, 414, 976
The greatest common divisor of numbers 967, 567, 414, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 967, 567, 414, 976 is 1.
1. What is the GCD of 967, 567, 414, 976?
GCD of given numbers 967, 567, 414, 976 is 1
2. How to calculate the greatest common divisor of 967, 567, 414, 976?
We can find the highest common divisor of 967, 567, 414, 976 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 967, 567, 414, 976 i.e 1.
3. How can I use the GCD of 967, 567, 414, 976Calculator?
Out the numbers 967, 567, 414, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.