Online GCD Calculator is useful to find the GCD of 302, 402, 742, 217 quickly. Get the easiest ways to solve the greatest common divisor of 302, 402, 742, 217 i.e 1 in different methods as follows.
Given Input numbers are 302, 402, 742, 217
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (302, 402, 742, 217) = 1.
Given numbers are 302, 402, 742, 217
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 402 are 2 x 3 x 67
Prime factors of 742 are 2 x 7 x 53
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 302, 402, 742, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 402) = 60702
GCD(302, 402) = ( 302 x 402 ) / 60702
= 302 / 402
= 302
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
Step3:
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
= 2 / 217
= 2
So, Greatest Common Divisor of 302, 402, 742, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 402, 742, 217
The greatest common divisor of numbers 302, 402, 742, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 402, 742, 217 is 1.
1. What is the GCD of 302, 402, 742, 217?
GCD of given numbers 302, 402, 742, 217 is 1
2. How to calculate the greatest common divisor of 302, 402, 742, 217?
We can find the highest common divisor of 302, 402, 742, 217 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 302, 402, 742, 217 i.e 1.
3. How can I use the GCD of 302, 402, 742, 217Calculator?
Out the numbers 302, 402, 742, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.