Online GCD Calculator is useful to find the GCD of 496, 360, 138, 385 quickly. Get the easiest ways to solve the greatest common divisor of 496, 360, 138, 385 i.e 1 in different methods as follows.
Given Input numbers are 496, 360, 138, 385
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
GCD of numbers is the greatest common divisor
So, the GCD (496, 360, 138, 385) = 1.
Given numbers are 496, 360, 138, 385
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 138 are 2 x 3 x 23
Prime factors of 385 are 5 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 496, 360, 138, 385
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 360) = 22320
GCD(496, 360) = ( 496 x 360 ) / 22320
= 496 / 360
= 496
Step2:
LCM(8, 138) = 552
GCD(8, 138) = ( 8 x 138 ) / 552
= 8 / 138
= 8
Step3:
LCM(2, 385) = 770
GCD(2, 385) = ( 2 x 385 ) / 770
= 2 / 385
= 2
So, Greatest Common Divisor of 496, 360, 138, 385 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 360, 138, 385
The greatest common divisor of numbers 496, 360, 138, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 360, 138, 385 is 1.
1. What is the GCD of 496, 360, 138, 385?
GCD of given numbers 496, 360, 138, 385 is 1
2. How to calculate the greatest common divisor of 496, 360, 138, 385?
We can find the highest common divisor of 496, 360, 138, 385 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 496, 360, 138, 385 i.e 1.
3. How can I use the GCD of 496, 360, 138, 385Calculator?
Out the numbers 496, 360, 138, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.