Online GCD Calculator is useful to find the GCD of 642, 307, 724, 378 quickly. Get the easiest ways to solve the greatest common divisor of 642, 307, 724, 378 i.e 1 in different methods as follows.
Given Input numbers are 642, 307, 724, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
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
GCD of numbers is the greatest common divisor
So, the GCD (642, 307, 724, 378) = 1.
Given numbers are 642, 307, 724, 378
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 307 are 307
Prime factors of 724 are 2 x 2 x 181
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 642, 307, 724, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 307) = 197094
GCD(642, 307) = ( 642 x 307 ) / 197094
= 642 / 307
= 642
Step2:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 642, 307, 724, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 307, 724, 378
The greatest common divisor of numbers 642, 307, 724, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 307, 724, 378 is 1.
1. What is the GCD of 642, 307, 724, 378?
GCD of given numbers 642, 307, 724, 378 is 1
2. How to calculate the greatest common divisor of 642, 307, 724, 378?
We can find the highest common divisor of 642, 307, 724, 378 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 642, 307, 724, 378 i.e 1.
3. How can I use the GCD of 642, 307, 724, 378Calculator?
Out the numbers 642, 307, 724, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.