Online GCD Calculator is useful to find the GCD of 378, 242, 643, 697 quickly. Get the easiest ways to solve the greatest common divisor of 378, 242, 643, 697 i.e 1 in different methods as follows.
Given Input numbers are 378, 242, 643, 697
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 643 :
The positive integer divisors of 643 that completely divides 643 are.
1, 643
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
GCD of numbers is the greatest common divisor
So, the GCD (378, 242, 643, 697) = 1.
Given numbers are 378, 242, 643, 697
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 242 are 2 x 11 x 11
Prime factors of 643 are 643
Prime factors of 697 are 17 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 242, 643, 697
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 242) = 45738
GCD(378, 242) = ( 378 x 242 ) / 45738
= 378 / 242
= 378
Step2:
LCM(2, 643) = 1286
GCD(2, 643) = ( 2 x 643 ) / 1286
= 2 / 643
= 2
Step3:
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
= 1 / 697
= 1
So, Greatest Common Divisor of 378, 242, 643, 697 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 242, 643, 697
The greatest common divisor of numbers 378, 242, 643, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 242, 643, 697 is 1.
1. What is the GCD of 378, 242, 643, 697?
GCD of given numbers 378, 242, 643, 697 is 1
2. How to calculate the greatest common divisor of 378, 242, 643, 697?
We can find the highest common divisor of 378, 242, 643, 697 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 378, 242, 643, 697 i.e 1.
3. How can I use the GCD of 378, 242, 643, 697Calculator?
Out the numbers 378, 242, 643, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.