Online GCD Calculator is useful to find the GCD of 320, 778, 199, 972 quickly. Get the easiest ways to solve the greatest common divisor of 320, 778, 199, 972 i.e 1 in different methods as follows.
Given Input numbers are 320, 778, 199, 972
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (320, 778, 199, 972) = 1.
Given numbers are 320, 778, 199, 972
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 778 are 2 x 389
Prime factors of 199 are 199
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 320, 778, 199, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 778) = 124480
GCD(320, 778) = ( 320 x 778 ) / 124480
= 320 / 778
= 320
Step2:
LCM(2, 199) = 398
GCD(2, 199) = ( 2 x 199 ) / 398
= 2 / 199
= 2
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 320, 778, 199, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 778, 199, 972
The greatest common divisor of numbers 320, 778, 199, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 778, 199, 972 is 1.
1. What is the GCD of 320, 778, 199, 972?
GCD of given numbers 320, 778, 199, 972 is 1
2. How to calculate the greatest common divisor of 320, 778, 199, 972?
We can find the highest common divisor of 320, 778, 199, 972 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 320, 778, 199, 972 i.e 1.
3. How can I use the GCD of 320, 778, 199, 972Calculator?
Out the numbers 320, 778, 199, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.