Online GCD Calculator is useful to find the GCD of 991, 784, 597, 120 quickly. Get the easiest ways to solve the greatest common divisor of 991, 784, 597, 120 i.e 1 in different methods as follows.
Given Input numbers are 991, 784, 597, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (991, 784, 597, 120) = 1.
Given numbers are 991, 784, 597, 120
The list of prime factors of all numbers are
Prime factors of 991 are 991
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 597 are 3 x 199
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 991, 784, 597, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(991, 784) = 776944
GCD(991, 784) = ( 991 x 784 ) / 776944
= 991 / 784
= 991
Step2:
LCM(1, 597) = 597
GCD(1, 597) = ( 1 x 597 ) / 597
= 1 / 597
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 991, 784, 597, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 991, 784, 597, 120
The greatest common divisor of numbers 991, 784, 597, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 784, 597, 120 is 1.
1. What is the GCD of 991, 784, 597, 120?
GCD of given numbers 991, 784, 597, 120 is 1
2. How to calculate the greatest common divisor of 991, 784, 597, 120?
We can find the highest common divisor of 991, 784, 597, 120 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 991, 784, 597, 120 i.e 1.
3. How can I use the GCD of 991, 784, 597, 120Calculator?
Out the numbers 991, 784, 597, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.