Online GCD Calculator is useful to find the GCD of 120, 685, 977, 298 quickly. Get the easiest ways to solve the greatest common divisor of 120, 685, 977, 298 i.e 1 in different methods as follows.
Given Input numbers are 120, 685, 977, 298
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 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (120, 685, 977, 298) = 1.
Given numbers are 120, 685, 977, 298
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 685 are 5 x 137
Prime factors of 977 are 977
Prime factors of 298 are 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 685, 977, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 685) = 16440
GCD(120, 685) = ( 120 x 685 ) / 16440
= 120 / 685
= 120
Step2:
LCM(5, 977) = 4885
GCD(5, 977) = ( 5 x 977 ) / 4885
= 5 / 977
= 5
Step3:
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
= 1 / 298
= 1
So, Greatest Common Divisor of 120, 685, 977, 298 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 685, 977, 298
The greatest common divisor of numbers 120, 685, 977, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 685, 977, 298 is 1.
1. What is the GCD of 120, 685, 977, 298?
GCD of given numbers 120, 685, 977, 298 is 1
2. How to calculate the greatest common divisor of 120, 685, 977, 298?
We can find the highest common divisor of 120, 685, 977, 298 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, 685, 977, 298 i.e 1.
3. How can I use the GCD of 120, 685, 977, 298Calculator?
Out the numbers 120, 685, 977, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.