Online GCD Calculator is useful to find the GCD of 854, 390, 702, 225 quickly. Get the easiest ways to solve the greatest common divisor of 854, 390, 702, 225 i.e 1 in different methods as follows.
Given Input numbers are 854, 390, 702, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (854, 390, 702, 225) = 1.
Given numbers are 854, 390, 702, 225
The list of prime factors of all numbers are
Prime factors of 854 are 2 x 7 x 61
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 854, 390, 702, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(854, 390) = 166530
GCD(854, 390) = ( 854 x 390 ) / 166530
= 854 / 390
= 854
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
= 2 / 225
= 2
So, Greatest Common Divisor of 854, 390, 702, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 854, 390, 702, 225
The greatest common divisor of numbers 854, 390, 702, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 390, 702, 225 is 1.
1. What is the GCD of 854, 390, 702, 225?
GCD of given numbers 854, 390, 702, 225 is 1
2. How to calculate the greatest common divisor of 854, 390, 702, 225?
We can find the highest common divisor of 854, 390, 702, 225 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 854, 390, 702, 225 i.e 1.
3. How can I use the GCD of 854, 390, 702, 225Calculator?
Out the numbers 854, 390, 702, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.