Online GCD Calculator is useful to find the GCD of 135, 448, 240, 101 quickly. Get the easiest ways to solve the greatest common divisor of 135, 448, 240, 101 i.e 1 in different methods as follows.
Given Input numbers are 135, 448, 240, 101
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
GCD of numbers is the greatest common divisor
So, the GCD (135, 448, 240, 101) = 1.
Given numbers are 135, 448, 240, 101
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 101 are 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 448, 240, 101
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 448) = 60480
GCD(135, 448) = ( 135 x 448 ) / 60480
= 135 / 448
= 135
Step2:
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
= 1 / 240
= 1
Step3:
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
= 1 / 101
= 1
So, Greatest Common Divisor of 135, 448, 240, 101 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 448, 240, 101
The greatest common divisor of numbers 135, 448, 240, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 448, 240, 101 is 1.
1. What is the GCD of 135, 448, 240, 101?
GCD of given numbers 135, 448, 240, 101 is 1
2. How to calculate the greatest common divisor of 135, 448, 240, 101?
We can find the highest common divisor of 135, 448, 240, 101 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 135, 448, 240, 101 i.e 1.
3. How can I use the GCD of 135, 448, 240, 101Calculator?
Out the numbers 135, 448, 240, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.