Online GCD Calculator is useful to find the GCD of 378, 280, 298, 635 quickly. Get the easiest ways to solve the greatest common divisor of 378, 280, 298, 635 i.e 1 in different methods as follows.
Given Input numbers are 378, 280, 298, 635
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 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 635 :
The positive integer divisors of 635 that completely divides 635 are.
1, 5, 127, 635
GCD of numbers is the greatest common divisor
So, the GCD (378, 280, 298, 635) = 1.
Given numbers are 378, 280, 298, 635
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 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 298 are 2 x 149
Prime factors of 635 are 5 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 280, 298, 635
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 280) = 7560
GCD(378, 280) = ( 378 x 280 ) / 7560
= 378 / 280
= 378
Step2:
LCM(14, 298) = 2086
GCD(14, 298) = ( 14 x 298 ) / 2086
= 14 / 298
= 14
Step3:
LCM(2, 635) = 1270
GCD(2, 635) = ( 2 x 635 ) / 1270
= 2 / 635
= 2
So, Greatest Common Divisor of 378, 280, 298, 635 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 280, 298, 635
The greatest common divisor of numbers 378, 280, 298, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 280, 298, 635 is 1.
1. What is the GCD of 378, 280, 298, 635?
GCD of given numbers 378, 280, 298, 635 is 1
2. How to calculate the greatest common divisor of 378, 280, 298, 635?
We can find the highest common divisor of 378, 280, 298, 635 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, 280, 298, 635 i.e 1.
3. How can I use the GCD of 378, 280, 298, 635Calculator?
Out the numbers 378, 280, 298, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.