Online GCD Calculator is useful to find the GCD of 360, 208, 141, 902 quickly. Get the easiest ways to solve the greatest common divisor of 360, 208, 141, 902 i.e 1 in different methods as follows.
Given Input numbers are 360, 208, 141, 902
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 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
GCD of numbers is the greatest common divisor
So, the GCD (360, 208, 141, 902) = 1.
Given numbers are 360, 208, 141, 902
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 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 141 are 3 x 47
Prime factors of 902 are 2 x 11 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 208, 141, 902
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 208) = 9360
GCD(360, 208) = ( 360 x 208 ) / 9360
= 360 / 208
= 360
Step2:
LCM(8, 141) = 1128
GCD(8, 141) = ( 8 x 141 ) / 1128
= 8 / 141
= 8
Step3:
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
= 1 / 902
= 1
So, Greatest Common Divisor of 360, 208, 141, 902 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 208, 141, 902
The greatest common divisor of numbers 360, 208, 141, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 208, 141, 902 is 1.
1. What is the GCD of 360, 208, 141, 902?
GCD of given numbers 360, 208, 141, 902 is 1
2. How to calculate the greatest common divisor of 360, 208, 141, 902?
We can find the highest common divisor of 360, 208, 141, 902 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, 208, 141, 902 i.e 1.
3. How can I use the GCD of 360, 208, 141, 902Calculator?
Out the numbers 360, 208, 141, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.