Online GCD Calculator is useful to find the GCD of 378, 454, 771, 782 quickly. Get the easiest ways to solve the greatest common divisor of 378, 454, 771, 782 i.e 1 in different methods as follows.
Given Input numbers are 378, 454, 771, 782
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 454 :
The positive integer divisors of 454 that completely divides 454 are.
1, 2, 227, 454
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (378, 454, 771, 782) = 1.
Given numbers are 378, 454, 771, 782
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 454 are 2 x 227
Prime factors of 771 are 3 x 257
Prime factors of 782 are 2 x 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 454, 771, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 454) = 85806
GCD(378, 454) = ( 378 x 454 ) / 85806
= 378 / 454
= 378
Step2:
LCM(2, 771) = 1542
GCD(2, 771) = ( 2 x 771 ) / 1542
= 2 / 771
= 2
Step3:
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
= 1 / 782
= 1
So, Greatest Common Divisor of 378, 454, 771, 782 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 454, 771, 782
The greatest common divisor of numbers 378, 454, 771, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 454, 771, 782 is 1.
1. What is the GCD of 378, 454, 771, 782?
GCD of given numbers 378, 454, 771, 782 is 1
2. How to calculate the greatest common divisor of 378, 454, 771, 782?
We can find the highest common divisor of 378, 454, 771, 782 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, 454, 771, 782 i.e 1.
3. How can I use the GCD of 378, 454, 771, 782Calculator?
Out the numbers 378, 454, 771, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.