Online GCD Calculator is useful to find the GCD of 120, 879, 642, 787 quickly. Get the easiest ways to solve the greatest common divisor of 120, 879, 642, 787 i.e 1 in different methods as follows.
Given Input numbers are 120, 879, 642, 787
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
GCD of numbers is the greatest common divisor
So, the GCD (120, 879, 642, 787) = 1.
Given numbers are 120, 879, 642, 787
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 879 are 3 x 293
Prime factors of 642 are 2 x 3 x 107
Prime factors of 787 are 787
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 879, 642, 787
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 879) = 35160
GCD(120, 879) = ( 120 x 879 ) / 35160
= 120 / 879
= 120
Step2:
LCM(3, 642) = 642
GCD(3, 642) = ( 3 x 642 ) / 642
= 3 / 642
= 3
Step3:
LCM(3, 787) = 2361
GCD(3, 787) = ( 3 x 787 ) / 2361
= 3 / 787
= 3
So, Greatest Common Divisor of 120, 879, 642, 787 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 879, 642, 787
The greatest common divisor of numbers 120, 879, 642, 787 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 879, 642, 787 is 1.
1. What is the GCD of 120, 879, 642, 787?
GCD of given numbers 120, 879, 642, 787 is 1
2. How to calculate the greatest common divisor of 120, 879, 642, 787?
We can find the highest common divisor of 120, 879, 642, 787 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 120, 879, 642, 787 i.e 1.
3. How can I use the GCD of 120, 879, 642, 787Calculator?
Out the numbers 120, 879, 642, 787 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.