Online GCD Calculator is useful to find the GCD of 238, 560, 384, 735 quickly. Get the easiest ways to solve the greatest common divisor of 238, 560, 384, 735 i.e 1 in different methods as follows.
Given Input numbers are 238, 560, 384, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (238, 560, 384, 735) = 1.
Given numbers are 238, 560, 384, 735
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 238, 560, 384, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 560) = 9520
GCD(238, 560) = ( 238 x 560 ) / 9520
= 238 / 560
= 238
Step2:
LCM(14, 384) = 2688
GCD(14, 384) = ( 14 x 384 ) / 2688
= 14 / 384
= 14
Step3:
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
= 2 / 735
= 2
So, Greatest Common Divisor of 238, 560, 384, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 560, 384, 735
The greatest common divisor of numbers 238, 560, 384, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 560, 384, 735 is 1.
1. What is the GCD of 238, 560, 384, 735?
GCD of given numbers 238, 560, 384, 735 is 1
2. How to calculate the greatest common divisor of 238, 560, 384, 735?
We can find the highest common divisor of 238, 560, 384, 735 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 238, 560, 384, 735 i.e 1.
3. How can I use the GCD of 238, 560, 384, 735Calculator?
Out the numbers 238, 560, 384, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.