Online GCD Calculator is useful to find the GCD of 360, 154, 101, 890 quickly. Get the easiest ways to solve the greatest common divisor of 360, 154, 101, 890 i.e 1 in different methods as follows.
Given Input numbers are 360, 154, 101, 890
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (360, 154, 101, 890) = 1.
Given numbers are 360, 154, 101, 890
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 154 are 2 x 7 x 11
Prime factors of 101 are 101
Prime factors of 890 are 2 x 5 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 154, 101, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 154) = 27720
GCD(360, 154) = ( 360 x 154 ) / 27720
= 360 / 154
= 360
Step2:
LCM(2, 101) = 202
GCD(2, 101) = ( 2 x 101 ) / 202
= 2 / 101
= 2
Step3:
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
= 1 / 890
= 1
So, Greatest Common Divisor of 360, 154, 101, 890 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 154, 101, 890
The greatest common divisor of numbers 360, 154, 101, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 154, 101, 890 is 1.
1. What is the GCD of 360, 154, 101, 890?
GCD of given numbers 360, 154, 101, 890 is 1
2. How to calculate the greatest common divisor of 360, 154, 101, 890?
We can find the highest common divisor of 360, 154, 101, 890 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 360, 154, 101, 890 i.e 1.
3. How can I use the GCD of 360, 154, 101, 890Calculator?
Out the numbers 360, 154, 101, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.