Online GCD Calculator is useful to find the GCD of 967, 500, 278, 320 quickly. Get the easiest ways to solve the greatest common divisor of 967, 500, 278, 320 i.e 1 in different methods as follows.
Given Input numbers are 967, 500, 278, 320
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (967, 500, 278, 320) = 1.
Given numbers are 967, 500, 278, 320
The list of prime factors of all numbers are
Prime factors of 967 are 967
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 278 are 2 x 139
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 967, 500, 278, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(967, 500) = 483500
GCD(967, 500) = ( 967 x 500 ) / 483500
= 967 / 500
= 967
Step2:
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
= 1 / 278
= 1
Step3:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
So, Greatest Common Divisor of 967, 500, 278, 320 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 967, 500, 278, 320
The greatest common divisor of numbers 967, 500, 278, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 967, 500, 278, 320 is 1.
1. What is the GCD of 967, 500, 278, 320?
GCD of given numbers 967, 500, 278, 320 is 1
2. How to calculate the greatest common divisor of 967, 500, 278, 320?
We can find the highest common divisor of 967, 500, 278, 320 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, 500, 278, 320 i.e 1.
3. How can I use the GCD of 967, 500, 278, 320Calculator?
Out the numbers 967, 500, 278, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.