Online GCD Calculator is useful to find the GCD of 120, 427, 426, 378 quickly. Get the easiest ways to solve the greatest common divisor of 120, 427, 426, 378 i.e 1 in different methods as follows.
Given Input numbers are 120, 427, 426, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
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 (120, 427, 426, 378) = 1.
Given numbers are 120, 427, 426, 378
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 427 are 7 x 61
Prime factors of 426 are 2 x 3 x 71
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 120, 427, 426, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 427) = 51240
GCD(120, 427) = ( 120 x 427 ) / 51240
= 120 / 427
= 120
Step2:
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
= 1 / 426
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 120, 427, 426, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 427, 426, 378
The greatest common divisor of numbers 120, 427, 426, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 427, 426, 378 is 1.
1. What is the GCD of 120, 427, 426, 378?
GCD of given numbers 120, 427, 426, 378 is 1
2. How to calculate the greatest common divisor of 120, 427, 426, 378?
We can find the highest common divisor of 120, 427, 426, 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 120, 427, 426, 378 i.e 1.
3. How can I use the GCD of 120, 427, 426, 378Calculator?
Out the numbers 120, 427, 426, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.